Solving Inequalities

Solving an Inequality is just like solving an equation,

almost….

Instead of an equal sign there is an inequality sign.

If you multiply or divide by a negative number, you must flip the inequality sign.

There is more than one number that is a part of the solution

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NotationNotation

We will begin by reminding ourselves of formal mathematical notation and the properties of inequalities.

Greater than > Ex: 12 > 6 Greater than or equal to > Ex: 17 > 16 Less than < Ex: 9 < 13 Less than or equal to < Ex: -15 < 15

ExamplesExamples

1. x + 5 < 6

2. x + 4 > 7

3. x + 2 < 0

1. X – 4 > -1

2. X – 5 ≤ 10

3. X – 8 ≥ 6

ExamplesExamples

1. 2x > 4

2. -4x < -12

3. 6x ≤ 24

1. x/2 > 4

2. x/5 < -10

3. -x/3 ≥ 4