# Linear Inequalities (Review)

Related Topics:
A Level Maths
Math Worksheets

Examples, solutions, videos, activities and worksheets that are suitable for A Level Maths to help students learn how to solve linear inequalities.

The following figure shows how to solve linear inequalities. Scroll down the page for more examples and solutions.

Maths : Inequalities - Introduction : ExamSolutions
In this tutorial you are shown how to read inequalities and draw number lines to illustrate inequalities Maths : Inequalities - Reversing the inequality sign
In order to solve linear inequalities, it is essential that you learn some of the basic rules of when to reverse the inequality sign. Maths : Solving Linear Inequalities : Examples 1
In this tutorial you are given two linear inequalities to solve. In the second example you will be shown several different ways to tackle the problem where care must be taken to remember to reverse the inequality sign
Example:
2x > 5 + 7
26 + 3x > 5

Solving Linear Inequalities in One Variable
You solve linear inequalities just like equations, except if you multiply or divide by a negative when solving for the variable, you must reverse the inequality symbol.
The solutions to linear inequalities can be expressed several ways: using inequalities, using a graph, or using interval notation.
Example:
Solve. Express the solution as an inequality, graph, and interval solution.
1. 5x - 3 ≥ -18
2. -2(x - 4) > x - 20
Solving One-Step Linear Inequalities in One Variable
How to solve one step linear inequalities in one variable. The solution is given as an inequality, a graph, and using interval notation.
Example:
Solve. Express the solution as an inequality, graph, and interval solution.
1. x + 4 ≥ 7
2. -2x > 8
Solving Two-Step Linear Inequalities in One Variable
how to solve one step linear inequalities in one variable. The solution is given as an inequality, a graph, and using interval notation.
Example:
Solve. Express the solution as an inequality, graph, and interval solution.
1. 3x + 4 ≥ 10
2. -2x - 1 > 9

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