7 White
3.12 Notes
Solving Multi-Step Inequalities
REMEMBER:
• Follow the same steps as you do when solving equations
• If you multiply or divide BOTH sides by a negative, flip the inequality
sign!
• Put the variable on the left side (and flip inequality sign) before you
graph!
Examples 1-­6 Solve each inequality. Graph your solution. 1. 2. 3(t + 1) − 4t ≥ −5 15 ≤ 5 − 2(4m + 7) 6n − 1 > 3n + 8 3b + 12 > 27 − 2b 3. 4. 5. 4𝑥 − 3 𝑥 + 5 < 2 −1 + 𝑥 − 7 Special Cases +
-
,
,
.
+
6. − 𝑥− ≥
𝑥 + 4 Just like with equations, we sometimes have inequalities that result in a _______________________ or a ____________________________ statement. These, again, are referred to as _________________________ or __________________________, respectively. Examples 7-­8 Solve each inequality. 7. 10 − 8a ≥ 2(5 − 4a) 8. 6m − 5 > 7m + 7 − m 

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