1. 3.4 Solving multi-step inequalities

2. Is the following correct or incorrect? Explain your reasoning. x -4 >

3. Is the following correct or incorrect? Explain. (-4) (-4) x -4 < Check your solutions.

4. Solving multi-step Inequalities Same as solving an equation except: – Multiply or divide by negative number reverses inequality 9 + 4x > 21 -9 4x > 12 4 x 3 > How can you check the solution?

5. Solving multi-step Inequalities Same as solving an equation except: – Multiply or divide by negative number reverses inequality Example 1 2x + 5 ≤ 13 2x ≤ 8 x ≤ 4

6. Solving multi-step Inequalities 3(x + 1) – 4x > -5 -3 -3 -1x > -8 x 8 < 3x + 3 – 4x > -5 3x - 4x + 3 > -5 -1x + 3 > -5

7. 10 – 8x > 2(5 – 4x) Inequalities with special solutions 10 – 8x > 10 – 8x + 8x + 8x 10 > 10 Since the inequality is always true, the solutions are all real numbers.

8. 6m – 5 > 7m + 7 - m Inequalities with special solutions 6m – 5 > 7m – m + 7 - 6m -6m -5 > 7 6m – 5 > 6m + 7 Since the inequality -5> 7 is never true, the inequality has no solutions.

9. Assignment: Page 190: 9-42 by 3’s