# Inequalities and substitution (Part 2)

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## Lesson details

### Key learning points

- In this lesson, we will continue our work on substituting into inequalities, this time considering negative numbers in more detail.

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 3 Questions

Q1.

Which of the following values of x satisfy the inequality x + 2 < 11 ? Select ONE

x = 10

x = 11

x = 9

Q2.

Which of these statements are true if x = 2? Select all that apply.

11 < 13 - x

2x ≤ 3

Q3.

Which of the following inequalities is satisfied if x = 3 and y = 4?

3x + 4y < 25

3x + 4y > 25

4x + 3y > 25

### 3 Questions

Q1.

Given that x = 6 and y = -5, which of the following statements is false? It may help to sketch a number line.

-7 < y

x ≤ 7

y ≤ -4

Q2.

Given that a = -3, which of the following statements is false? It may help to sketch a number line.

-3 ≤ a

-a = 3

a ≤ -2

Q3.

Look at the diagram. Which of these statements is true according to the diagram?

p < -q

p < r

r > -q