How do you solve $14 > - 2 x + 2 > - 4$ $14> - 2x + 2> - 4$ ?

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How do you solve $14 > - 2 x + 2 > - 4$ $14> - 2x + 2> - 4$ ?

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Answer 1 · 2018-04-19T15:46:01

$x \in (- 6, 3)$ $x in (-6,3)$

Explanation:

$subtract 2 from each interval$ $"subtract 2 from each interval"$

$14color(red)(-2)> -2xcancel(+2)cancel(color(red)(-2))> -4color(red)(-2)$

$rArr12> -2x > -6$

$"divide all 3 intervals by "-2$

$color(red)"Remembering to reverse the inequality signs"$

$rArr-6 < x < 3$

$x in (-6,3)larrcolor(blue)"in interval notation"$

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How do you solve $14 > - 2 x + 2 > - 4$ $14> - 2x + 2> - 4$ ?

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How do you solve $14 > - 2 x + 2 > - 4$ $14> - 2x + 2> - 4$ ?