# Inequalities and the Number Line

Related Topics:
More Lessons for GCSE Math
Math Worksheets

Examples, solutions, videos, games, activities and worksheets that are suitable for GCSE Maths. How to represent and solve inequalities?

Inequalities GCSE basic introduction and examples
Example:
1. -1 ≤ x < 4
x is an integer. Write down all the possible values of x.
2. (a) x > -3. Show this inequality on the number line.
(b) Solve the inequality 7y - 34 < 8.
(c) Write down the integer values of x that satisfy the inequality -2 ≤ x < 3
3. (a) On the number line below, show the inequality -2 < y < 3.
(b) Here is an inequality, in x, sjown on a number line. Write down the inequality.
(c) Solve the inequality 4t - 5 > 11 4. -3 < x ≤ 1, x is an integer
(a) Write down all the possible values of x.
(b) Solve the inequality 2p - 7 > 11.
5. (a) (i) Solve the inequality 5x - 7 < 8
(ii) On the number line, represent the solution set to part (i).
n is an integer such that -4 ≤ 2n < 3.
(b) Write down the possible values of n.
6. (a) Solve 5x + 12 < 17
(b) Solve the inequality 3(2y + 1) &ht; 10
How to represent inequalities using number lines easily?
How to find integers which solve double inequalities?

How to do Inequalities?
GCSE Maths revision worked exam questions examples
GCSE Maths - Inequalities (Solving Inequalities)
Higher Foundation ALgebra Equations

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.