Inequalities and substitution (Part 2)

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

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.

Loading...

3 Questions

Q1.
Which of the following values of x satisfy the inequality x + 2 < 11 ? Select ONE
x = 10
x = 11
Correct answer: x = 8
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

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.
Correct answer: -6 ≥ y
-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
Correct answer: 2 > -a
a ≤ -2
Q3.
Look at the diagram. Which of these statements is true according to the diagram?
Correct answer: -2r > q
p < -q
p < r
r > -q

Lesson appears in

UnitMaths / Forming and solving inequalities