# Solve a two-step inequality EXAMPLE 1 3x – 7 < 8 Write original inequality. 3x < 15 Add 7 to each side. x < 5 Divide each side by 3. ANSWER The solutions.

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Solve a two-step inequality EXAMPLE 1 3x – 7 < 8 Write original inequality. 3x < 15 Add 7 to each side. x < 5 Divide each side by 3. ANSWER The solutions are all real numbers less than 5. Check by substituting a number less than 5 in the original inequality. 3x – 7 < 8. Graph your solution. Solve

Solve a two-step inequality EXAMPLE 1 CHECK Write original inequality. Solution checks. Substitute 0 for x. 3(0) – 7 < 8 3x –7 < 8 –7 < 8

Solve a multi-step inequality EXAMPLE 2 Write original inequality. –0.6 ( x – 5)  15 –0.6x + 3  15 Distributive property Subtract 3 from each side. x  –20 Divide each side by 0.6. Reverse inequality symbol. – Solve –0.6(x – 5)  15. –0.6x  12

GUIDED PRACTICE for Examples 1 and 2 Solve the inequality. Graph your solution. 2x – 5 23. 1. < – x 14 < – ANSWER

GUIDED PRACTICE for Examples 1 and 2 Solve the inequality. Graph your solution. –6y + 5 –16. 2. < – y 3.5 > – ANSWER

GUIDED PRACTICE for Examples 1 and 2 3. –1 4 ( p –12) > –2 p < 20 ANSWER Solve the inequality. Graph your solution.

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