# Algebra - Solving Inequalities

**a** - answer **s** - solution **v** - video **d** - discussion

**Question 1**

Solve, showing your solution on a number line

**Question 2**

Solve, showing your solution on a number line

**Question 3**

Solve, showing your solution on a number line

**Question 4**

Solve, showing your solution on a number line

**Question 5**

Solve, showing your solution on a number line

**Question 6**

Solve, showing your solution on a number line

**Question 7**

Solve, showing your solution on a number line

**Question 8**

Solve, showing your solution on a number line

**Question 9**

Solve, showing your solution on a number line

**Question 10**

Solve, showing your solution on a number line

**Question 11**

Solve, showing your solution on a number line

**Question 12**

Solve, showing your solution on a number line

**Question 13**

Solve, showing your solution on a number line

**Question 14**

By forming an inequation, solve the following

a) I ate $5$ more chocolates than Harry. We lost count of how many chocolates we ate, but it was certainly more than $21$! What is the possible number of chocolates Harry ate?
a
s
v
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b) Joe spent twice as much as Jenna on a shopping trip yesterday. They know they spent less than £$450$. How much could Jenna have spent?
a
s
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d

c) The average of $3,6,7$ and $x$ is greater than or equal to $5$. What range of numbers could $x$ be?
a
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d

d) The speed of a ball thrown down from a building is given as $s=3+9t$, where $s$ is the speed at which the ball is travelling in $m/s$ and $t$ is the time in seconds after the ball is thrown. At what times is the speed between $21m/s$ and $39m/s$?
a
s
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d