Vocabulary

Inequality – a mathematical sentence that compares quantities.

Subtraction Property of Inequality – when you subtract the same number from both sides of an inequality, the inequality remains true.

Addition Property of Inequality – when you add the same number to both sides of an inequality, the inequality remains true.

Concepts

Choosing the correct solution to an inequality.

Rules

1. Use either the Subtraction Property of Inequality or the Addition 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?

x + 7 ≤ 9

Solution

x + 7 ≤ 9

x + 7 - 7≤ 9 - 7

x ≤ 2

Pre-requisite Skills

Solve one step Equations (+/-) (5.6.7)

Algebra - solving equations (6.1.9)