Inequalities GCSE questions
Solve inequalities like equations. Flip the sign if you multiply or divide by a negative.
Integer lists
1 < x ≤ 4 means x = 2, 3, 4 if x is an integer.
Practice questions
Cover the answers and have a go first. Worked solutions are underneath.
Question 1 [1 mark]
Solve x − 3 > 5
Question 2 [1 mark]
Solve 4x ≤ 12
Question 3 [2 marks]
Solve −x < 6
Question 4 [1 mark]
Integer values of −1 ≤ x < 3
Common mistakes
- Not flipping after dividing by a negative.
Answers and working
Q1. x > 8
Q2. x ≤ 3
Q3. x > −6
Q4. −1, 0, 1, 2
Frequently asked questions
Lesson?
Inequalities revision covers number lines and quadratic inequalities on Higher.
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