3.4 Solving multi-step inequalities. Is the following correct or incorrect? Explain your reasoning. x -4 >

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Presentation transcript:

3.4 Solving multi-step inequalities

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

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

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

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

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

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.

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

Assignment: Page 190: 9-42 by 3’s