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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