3 years ago

Solve: -7 < 2x+5 < 7

Mathematics

1 answer:

kondor19780726 [428]3 years ago

4 0

Answer:

$- 6 < x < 1$

Step-by-step 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:

$- 6 < x < 1$

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