Solving multi step inequalities

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# Solving multi step inequalities - PowerPoint PPT Presentation

Solving multi step inequalities. 7(m – 3) &gt; -13. 7m – 21 &gt; -13. +21. +21. 7m &gt; 8. 7. 7. m &gt; 1 ¹⁄₇. 1. 1 ¹⁄₇. 2. -⅔n – 2 &gt; ⅓n + 8. +⅔n. +⅔n. – 2 &gt; 1n + 8. - 8. - 8. -10 &gt; 1n. n &lt; -10. -11. -10. -9. 6(x + 3) &gt; 5x + 18 + x. 6x + 18 &gt; 6x + 18. - 6x.

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### Solving multi step inequalities

7(m – 3) > -13

7m – 21 > -13

+21

+21

7m > 8

7

7

m > 1 ¹⁄₇

1

1 ¹⁄₇

2

-⅔n – 2 > ⅓n + 8

+⅔n

+⅔n

– 2 > 1n + 8

- 8

- 8

-10 > 1n

n < -10

-11

-10

-9

6(x + 3) > 5x + 18 + x

6x + 18 > 6x + 18

- 6x

- 6x

18 > 18

Can 18 ever be greater than itself?

No solution!

4 – 8y < -4(2y – 1)

4 – 8y < -8y + 4

+ 8y

+ 8y

4 < 4

Can 4 ever be less than or equal to itself?

All solutions!