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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

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

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?

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 find integers which solve double inequalities?

GCSE Maths revision worked exam questions examples

Higher Foundation ALgebra Equations

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

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

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