How do you solve and write the following in interval notation: $- 4 < 2 x - 3 < 4$ $−4 <2x − 3<4$ ?

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Answer 1 · 2016-08-07T19:26:23

$- \frac{1}{2} < x < \frac{7}{2}$ $-1/2 < x < 7/2$

Ad 3 to everything

$- 4 + 3 < 2 x - 3 + 3 < 4 + 3$ $-4+3<2x-3+3<4+3$

$- 1 < 2 x < 7$ $-1<2x<7$

Divide every thing by 2

$- \frac{1}{2} < x < \frac{7}{2}$ $-1/2 < x < 7/2$

How do you solve and write the following in interval notation: −4<2x−3<4−4 <2x − 3<4?