Vocabulary

Coefficient – the numerical factor in an expression like 2y.

Division Property of Inequality – when you divide by the same number on both sides of an inequality, the inequality remains true.

Multiplication Property of Inequality – when you multiply by the same number on both sides of an inequality, the inequality remains true.

Concepts

Choosing the correct solution to an inequality.

Rules

1. Use either the Division Property of Inequality or the Multiplication Property of Inequality to isolate the variable on one side of the inequality.
2. Simplify the other side of the inequality.
3. Choose the inequality that matches.

Example

Which of the solutions makes the inequality true?

4x<28

Solution

4x<28

4x4<284

x<7

Pre-requisite Skills

Solve Algebraic Equations (x/÷) (5.6.8)

Algebra - solving equations (6.1.9)

Solve Inequalties by Addition and Subtraction and graph the solution. (7.7.1)