3-2/3-3 Solving One-Step Inequalities

Properties of Inequalities•Addition Property:•If you add the same number to both

sides of an inequality, it remains true.

•Subtraction Property:•If you subtract the same number from

both sides of an inequality, it remains true.

•Multiplication/Division Property (Case 1):•If you multiply/divide both sides of an

inequality by the same positive number, it remains true.

•Multiplication/Division Property (Case 2):•If you multiply/divide both sides of an

inequality by the same negative number, the inequality symbol must be reversed toremain true.

Solving One-Step Inequalities•Just like solving equations!•Do opposite operations to get variable

alone.•BE CAREFUL!▫If you multiply or divide by a negative

number, you must reverse the inequality symbol!

Example 1•Solve x – 6 ≥ 10. Graph the solution.

You Try!

•Solve b – 2 > -9. Graph the solution.

Example 2

•Solve -8 > 1.4 + x. Graph the solution.

You Try!

•Solve k + 5 ≤ -3. Graph the solution.

Example 3

•Solve . Graph the solution.

You Try!

•Solve 3x ≤ 24. Graph the solution.

Example 4

•Solve -7y ≤ -35. Graph the solution.

You Try!

•Solve . Graph the solution.