# Number - Inequalities

**Question 1**

Insert the correct symbol ($<$, $>$ or $=$) to make the following statements correct

a) $5\square7$

a
$5<7$

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b) $16\square10$

a
$16>10$

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c) $1\square5$

a
$1<5$

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d) $8\square8$

a
$8=8$

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e) $20\square9$

a
$20>9$

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f) $1\square15$

a
$1<15$

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g) $0\square22$

a
$0<22$

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h) $98\square82$

a
$98>82$

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**Question 2**

Insert the correct symbol ($<$, $>$ or $=$) to make the following statements correct

a) $-4\square0$

a
$-4<0$

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b) $0\square-11$

a
$0>-11$

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c) $-3\square-1$

a
$-3<-1$

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d) $-17\square-12$

a
$-17<-12$

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e) $-14\square-41$

a
$-14>-41$

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f) $-2\square-9$

a
$-2>-9$

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g) $-9\square-15$

a
$-9>-15$

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h) $-10\square-10$

a
$-10=-10$

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**Question 3**

Insert the correct symbol ($<$, $>$ or $=$) to make the following statements correct

a) $-4\square4$

a
$-4<4$

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b) $-9\square6$

a
$-9<6$

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c) $17\square-11$

a
$17>-11$

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d) $2\square15$

a
$2<15$

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e) $-92\square-87$

a
$-92<-87$

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f) $0\square-1000$

a
$0>-1000$

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g) $63\square-92$

a
$63>-92$

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h) $-114\square93$

a
$-114<93$

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**Question 4**

Are the following statements True or False?

a) $7<9$

a
True

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b) $8\le8$

a
True

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c) $19>20$

a
False

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d) $45\ge55$

a
False

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e) $0\le0$

a
True

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f) $6<15$

a
True

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g) $8>22$

a
False

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h) $9<10$

a
True

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**Question 5**

Are the following statements True or False?

a) $0>-4$

a
True

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b) $-9\ge-10$

a
True

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c) $-5>-4$

a
False

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d) $-10=-10$

a
True

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e) $-15<-11$

a
True

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f) $-20\le-30$

a
False

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g) $-50\ge-20$

a
False

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h) $-9=-4$

a
False

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**Question 6**

Are the following statements True or False?

a) $-4\ge4$

a
False

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b) $6\le-10$

a
False

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c) $0=-15$

a
False

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d) $14\ge-14$

a
True

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e) $-80>13$

a
False

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f) $20\ge-20$

a
True

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g) $-19\le-15$

a
True

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h) $-17\le-17$

a
True

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**Question 7**

Write the inequality represented by the following

a)

a
$x<3$

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b)

a
$x>2$

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c)

a
$x\le7$

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d)

a
$y\ge10$

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e)

a
$x<-1$

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f)

a
$z\ge0$

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g)

a
$p\le-5$

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h)

a
$q>-1$

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**Question 8**

Write the inequality represented by the following

a)

a
$1 < x<4$

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b)

a
$0\le x\le5$

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c)

a
$-2\le x<2$

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d)

a
$-4 < y\le0$

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e)

a
$x<1$ or $x>4$

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f)

a
$x\le-1$ or $x>2$

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g)

a
$-1 < z\le0$

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h)

a
$k<-3$ or $k\ge-2$

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**Question 9**

Write the inequality represented by the following

a)

a
$x=4$

Question ID: 10260090010

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b)

a
$x\ne4$

Question ID: 10260090020

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c)

a
$y=-1$

Question ID: 10260090030

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d)

a
$y\ne2$

Question ID: 10260090040

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e)

a
$x=2$ or $x=5$

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f)

a
$x\ne2$ and $x\ne3$

Question ID: 10260090060

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g)

a
$z<3$ or $z=4$

Question ID: 10260090070

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h)

a
$z\le-1$ or $0\le z<2$

Question ID: 10260090080

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**Question 10**

Draw a number line to represent the following inequalities

a) $x>2$

a

Question ID: 10260100010

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b) $x<0$

a

Question ID: 10260100020

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c) $x\ge3$

a

Question ID: 10260100030

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d) $y\le1$

a

Question ID: 10260100040

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e) $x<-2$

a

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f) $y\ge2$

a

Question ID: 10260100060

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g) $z\le-1$

a

Question ID: 10260100070

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h) $g>-3$

a

Question ID: 10260100080

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**Question 11**

Draw a number line to represent the following inequalities

a) $0 < x<3$

a

Question ID: 10260110010

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b) $3\le x\le5$

a

Question ID: 10260110020

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c) $-1 < x\le1$

a

Question ID: 10260110030

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d) $-1 \le x<3$

a

Question ID: 10260110040

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e) $y<0$ or $y>2$

a

Question ID: 10260110050

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f) $z\le-1$ or $z>3$

a

Question ID: 10260110060

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g) $-2 < w\le1$

a

Question ID: 10260110070

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h) $x\le-1$ or $x\ge2$

a

Question ID: 10260110080

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**Question 12**

Draw a number line to represent the following inequalities

a) $x=2$

a

Question ID: 10260120010

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b) $x\ne0$

a

Question ID: 10260120020

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c) $y=-2$

a

Question ID: 10260120030

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d) $y\ne-1$

a

Question ID: 10260120040

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e) $z=-1$ or $z=2$

a

Question ID: 10260120050

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f) $x\ne-1$ and $x\ne3$

a

Question ID: 10260120060

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g) $z\le-1$ or $z=2$

a

Question ID: 10260120070

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h) $-2\le x<1$ or $x=2$ or $x>4$

a

Question ID: 10260120080

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**Question 13**

Are the following statements True or False?

a) $3+6<14$

a
True

Question ID: 10260130010

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b) $8-4\ge5$

a
False

Question ID: 10260130020

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c) $10-(5+6)=0$

a
False

Question ID: 10260130030

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d) $-5+8<3$

a
False

Question ID: 10260130040

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e) $-2-6\le14\div2$

a
True

Question ID: 10260130050

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f) $\frac{30-2}{4}\ge3(8-5)$

a
False

Question ID: 10260130060

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g) $5^2-14\le40-4\le6^2$

a
True

Question ID: 10260130070

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h) $\frac{2(8-5)}{3}<8^2\div4^2\le(4-6)^2$

a
True

Question ID: 10260130080

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**Question 1**

Insert the correct symbol ($<$, $>$ or $=$) to make the following statements correct

a) $5\square7$

b) $16\square10$

c) $1\square5$

d) $8\square8$

e) $20\square9$

f) $1\square15$

g) $0\square22$

h) $98\square82$

**Question 2**

Insert the correct symbol ($<$, $>$ or $=$) to make the following statements correct

a) $-4\square0$

b) $0\square-11$

c) $-3\square-1$

d) $-17\square-12$

e) $-14\square-41$

f) $-2\square-9$

g) $-9\square-15$

h) $-10\square-10$

**Question 3**

Insert the correct symbol ($<$, $>$ or $=$) to make the following statements correct

a) $-4\square4$

b) $-9\square6$

c) $17\square-11$

d) $2\square15$

e) $-92\square-87$

f) $0\square-1000$

g) $63\square-92$

h) $-114\square93$

**Question 4**

Are the following statements True or False?

a) $7<9$

b) $8\le8$

c) $19>20$

d) $45\ge55$

e) $0\le0$

f) $6<15$

g) $8>22$

h) $9<10$

**Question 5**

Are the following statements True or False?

a) $0>-4$

b) $-9\ge-10$

c) $-5>-4$

d) $-10=-10$

e) $-15<-11$

f) $-20\le-30$

g) $-50\ge-20$

h) $-9=-4$

**Question 6**

Are the following statements True or False?

a) $-4\ge4$

b) $6\le-10$

c) $0=-15$

d) $14\ge-14$

e) $-80>13$

f) $20\ge-20$

g) $-19\le-15$

h) $-17\le-17$

**Question 7**

Write the inequality represented by the following

a)

b)

c)

d)

e)

f)

g)

h)

**Question 8**

Write the inequality represented by the following

a)

b)

c)

d)

e)

f)

g)

h)

**Question 9**

Write the inequality represented by the following

a)

b)

c)

d)

e)

f)

g)

h)

**Question 10**

Draw a number line to represent the following inequalities

a) $x>2$

b) $x<0$

c) $x\ge3$

d) $y\le1$

e) $x<-2$

f) $y\ge2$

g) $z\le-1$

h) $g>-3$

**Question 11**

Draw a number line to represent the following inequalities

a) $0 < x<3$

b) $3\le x\le5$

c) $-1 < x\le1$

d) $-1 \le x<3$

e) $y<0$ or $y>2$

f) $z\le-1$ or $z>3$

g) $-2 < w\le1$

h) $x\le-1$ or $x\ge2$

**Question 12**

Draw a number line to represent the following inequalities

a) $x=2$

b) $x\ne0$

c) $y=-2$

d) $y\ne-1$

e) $z=-1$ or $z=2$

f) $x\ne-1$ and $x\ne3$

g) $z\le-1$ or $z=2$

h) $-2\le x<1$ or $x=2$ or $x>4$

**Question 13**

Are the following statements True or False?

a) $3+6<14$

b) $8-4\ge5$

c) $10-(5+6)=0$

d) $-5+8<3$

e) $-2-6\le14\div2$

f) $\frac{30-2}{4}\ge3(8-5)$

g) $5^2-14\le40-4\le6^2$

h) $\frac{2(8-5)}{3}<8^2\div4^2\le(4-6)^2$

__Answers__

**Question 1**

a) $5<7$

b) $16>10$

c) $1<5$

d) $8=8$

e) $20>9$

f) $1<15$

g) $0<22$

h) $98>82$

**Question 2**

a) $-4<0$

b) $0>-11$

c) $-3<-1$

d) $-17<-12$

e) $-14>-41$

f) $-2>-9$

g) $-9>-15$

h) $-10=-10$

**Question 3**

a) $-4<4$

b) $-9<6$

c) $17>-11$

d) $2<15$

e) $-92<-87$

f) $0>-1000$

g) $63>-92$

h) $-114<93$

**Question 4**

a) True

b) True

c) False

d) False

e) True

f) True

g) False

h) True

**Question 5**

a) True

b) True

c) False

d) True

e) True

f) False

g) False

h) False

**Question 6**

a) False

b) False

c) False

d) True

e) False

f) True

g) True

h) True

**Question 7**

a) $x<3$

b) $x>2$

c) $x\le7$

d) $y\ge10$

e) $x<-1$

f) $z\ge0$

g) $p\le-5$

h) $q>-1$

**Question 8**

a) $1 < x<4$

b) $0\le x\le5$

c) $-2\le x<2$

d) $-4 < y\le0$

e) $x<1$ or $x>4$

f) $x\le-1$ or $x>2$

g) $-1 < z\le0$

h) $k<-3$ or $k\ge-2$

**Question 9**

a) $x=4$

b) $x\ne4$

c) $y=-1$

d) $y\ne2$

e) $x=2$ or $x=5$

f) $x\ne2$ and $x\ne3$

g) $z<3$ or $z=4$

h) $z\le-1$ or $0\le z<2$

**Question 10**

a)

b)

c)

d)

e)

f)

g)

h)

**Question 11**

a)

b)

c)

d)

e)

f)

g)

h)

**Question 12**

a)

b)

c)

d)

e)

f)

g)

h)

**Question 13**

a) True

b) False

c) False

d) False

e) True

f) False

g) True

h) True

**Question 1**

Insert the correct symbol ($<$, $>$ or $=$) to make the following statements correct

a) $5\square7$

b) $16\square10$

c) $1\square5$

d) $8\square8$

e) $20\square9$

f) $1\square15$

g) $0\square22$

h) $98\square82$

**Question 2**

Insert the correct symbol ($<$, $>$ or $=$) to make the following statements correct

a) $-4\square0$

b) $0\square-11$

c) $-3\square-1$

d) $-17\square-12$

e) $-14\square-41$

f) $-2\square-9$

g) $-9\square-15$

h) $-10\square-10$

**Question 3**

Insert the correct symbol ($<$, $>$ or $=$) to make the following statements correct

a) $-4\square4$

b) $-9\square6$

c) $17\square-11$

d) $2\square15$

e) $-92\square-87$

f) $0\square-1000$

g) $63\square-92$

h) $-114\square93$

**Question 4**

Are the following statements True or False?

a) $7<9$

b) $8\le8$

c) $19>20$

d) $45\ge55$

e) $0\le0$

f) $6<15$

g) $8>22$

h) $9<10$

**Question 5**

Are the following statements True or False?

a) $0>-4$

b) $-9\ge-10$

c) $-5>-4$

d) $-10=-10$

e) $-15<-11$

f) $-20\le-30$

g) $-50\ge-20$

h) $-9=-4$

**Question 6**

Are the following statements True or False?

a) $-4\ge4$

b) $6\le-10$

c) $0=-15$

d) $14\ge-14$

e) $-80>13$

f) $20\ge-20$

g) $-19\le-15$

h) $-17\le-17$

**Question 7**

Write the inequality represented by the following

a)

b)

c)

d)

e)

f)

g)

h)

**Question 8**

Write the inequality represented by the following

a)

b)

c)

d)

e)

f)

g)

h)

**Question 9**

Write the inequality represented by the following

a)

b)

c)

d)

e)

f)

g)

h)

**Question 10**

Draw a number line to represent the following inequalities

a) $x>2$

b) $x<0$

c) $x\ge3$

d) $y\le1$

e) $x<-2$

f) $y\ge2$

g) $z\le-1$

h) $g>-3$

**Question 11**

Draw a number line to represent the following inequalities

a) $0 < x<3$

b) $3\le x\le5$

c) $-1 < x\le1$

d) $-1 \le x<3$

e) $y<0$ or $y>2$

f) $z\le-1$ or $z>3$

g) $-2 < w\le1$

h) $x\le-1$ or $x\ge2$

**Question 12**

Draw a number line to represent the following inequalities

a) $x=2$

b) $x\ne0$

c) $y=-2$

d) $y\ne-1$

e) $z=-1$ or $z=2$

f) $x\ne-1$ and $x\ne3$

g) $z\le-1$ or $z=2$

h) $-2\le x<1$ or $x=2$ or $x>4$

**Question 13**

Are the following statements True or False?

a) $3+6<14$

b) $8-4\ge5$

c) $10-(5+6)=0$

d) $-5+8<3$

e) $-2-6\le14\div2$

f) $\frac{30-2}{4}\ge3(8-5)$

g) $5^2-14\le40-4\le6^2$

h) $\frac{2(8-5)}{3}<8^2\div4^2\le(4-6)^2$

__Answers__

**Question 1**

a) $5<7$

b) $16>10$

c) $1<5$

d) $8=8$

e) $20>9$

f) $1<15$

g) $0<22$

h) $98>82$

**Question 2**

a) $-4<0$

b) $0>-11$

c) $-3<-1$

d) $-17<-12$

e) $-14>-41$

f) $-2>-9$

g) $-9>-15$

h) $-10=-10$

**Question 3**

a) $-4<4$

b) $-9<6$

c) $17>-11$

d) $2<15$

e) $-92<-87$

f) $0>-1000$

g) $63>-92$

h) $-114<93$

**Question 4**

a) True

b) True

c) False

d) False

e) True

f) True

g) False

h) True

**Question 5**

a) True

b) True

c) False

d) True

e) True

f) False

g) False

h) False

**Question 6**

a) False

b) False

c) False

d) True

e) False

f) True

g) True

h) True

**Question 7**

a) $x<3$

b) $x>2$

c) $x\le7$

d) $y\ge10$

e) $x<-1$

f) $z\ge0$

g) $p\le-5$

h) $q>-1$

**Question 8**

a) $1 < x<4$

b) $0\le x\le5$

c) $-2\le x<2$

d) $-4 < y\le0$

e) $x<1$ or $x>4$

f) $x\le-1$ or $x>2$

g) $-1 < z\le0$

h) $k<-3$ or $k\ge-2$

**Question 9**

a) $x=4$

b) $x\ne4$

c) $y=-1$

d) $y\ne2$

e) $x=2$ or $x=5$

f) $x\ne2$ and $x\ne3$

g) $z<3$ or $z=4$

h) $z\le-1$ or $0\le z<2$

**Question 10**

a)

b)

c)

d)

e)

f)

g)

h)

**Question 11**

a)

b)

c)

d)

e)

f)

g)

h)

**Question 12**

a)

b)

c)

d)

e)

f)

g)

h)

**Question 13**

a) True

b) False

c) False

d) False

e) True

f) False

g) True

h) True

__Solutions__

**Question 1**

a)

b)

c)

d)

e)

f)

g)

h)

**Question 2**

a)

b)

c)

d)

e)

f)

g)

h)

**Question 3**

a)

b)

c)

d)

e)

f)

g)

h)

**Question 4**

a)

b)

c)

d)

e)

f)

g)

h)

**Question 5**

a)

b)

c)

d)

e)

f)

g)

h)

**Question 6**

a)

b)

c)

d)

e)

f)

g)

h)

**Question 7**

a)

b)

c)

d)

e)

f)

g)

h)

**Question 8**

a)

b)

c)

d)

e)

f)

g)

h)

**Question 9**

a)

b)

c)

d)

e)

f)

g)

h)

**Question 10**

a)

b)

c)

d)

e)

f)

g)

h)

**Question 11**

a)

b)

c)

d)

e)

f)

g)

h)

**Question 12**

a)

b)

c)

d)

e)

f)

g)

h)

**Question 13**

a)

b)

c)

d)

e)

f)

g)

h)