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Objective. Solve inequalities that contain more than one operation. To solve an __________, use ________ ___________ just like you would to solve an equation, except when you multiply or divide by a negative , you must _______ the inequality. INEQUALITY. INVERSE OPERATIONS.
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Objective Solve inequalities that contain more than one operation.
To solve an __________, use ________ ___________ just like you would to solve an equation, except when you multiply or divide by a negative, you must _______ the inequality. INEQUALITY INVERSE OPERATIONS “FLIP” Both sides
–7 –8 –10 –6 –4 0 2 4 6 8 10 –2 Example 1 Solve the inequality and graph the solutions. 8 – 3y ≥ 29 –8 –8 –3y ≥21 y ≤ –7
–11 –20 –16 –12 –8 –4 0 Example 2 Solve the inequality and graph the solutions. x + 5 < –6 –5 –5 x < –11
10 –8 –10 –6 –4 0 2 4 6 8 –2 Example 3 Solve the inequality and graph the solutions. –4(2 – x) ≤ 8 −4(2 – x) ≤ 8 –8 + 4x ≤ 8 +8 +8 4x ≤16 x ≤ 4
–3 –3 Example 4 Solve the inequality and graph the solutions. 4f + 3 > 2 4f > –1
0 Example 4 Continued 4f > –1
Example 5 Solve the inequality and graph the solutions. 5 < 3x –2 +2 + 2 7 < 3x
2 4 6 8 0 10 Example 5 Solve the inequality and graph the solutions. 7 < 3x