# Inequalities and substitution (Part 2)

## Lesson details

### Key learning points

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

### Licence

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## Video

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## Worksheet

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## Starter quiz

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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
Correct answer: 2 > x - 1
2x ≤ 3
Correct answer: 3x - 1 ≥ 5
Q3.
Which of the following inequalities is satisfied if x = 3 and y = 4?
3x + 4y < 25
3x + 4y > 25
Correct answer: 4x + 3y < 25
4x + 3y > 25

## Exit quiz

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### 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