Solve: -7 < 2x+5 < 7 - QAmmunity.org

asked Jan 18, 2021 231k views

1 vote

Solve: -7 < 2x+5 < 7

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4 votes

Answer:

- 6 < x < 1

Explanation:

first things first:

$- 7 < 2x + 5 \\ - 7 - 5 < 2x + 5 - 5 \\ - 12 < 2x \\ - 6 < x$

now:

$2x + 5 < 7 \\ 2x + 5 - 5 < 7 - 5 \\ 2x < 2 \\ x < 1$

now the intersection is:

- 6 < x < 1

Steffenj answered Jan 25, 2021

6.4k points

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