How do you solve $- 4 x - 8 > 16$ $-4x-8>16$ ?

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How do you solve $- 4 x - 8 > 16$ $-4x-8>16$ ?

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Answer 1 · 2015-08-06T12:26:02

$x > - 6$ $x > -6$

Explanation:

$- 4 x - 8 > 16$ $-4x -8 > 16$

adding 8 to both sides
$XXXX$ $color(white)("XXXX")$ $\to - 4 x > 24$ $rarr -4x > 24$

Either
[1] divide both sides by $(- 4)$ $(-4)$ , remembering that multiplication or division by a negative reverses the inequality:
$XXXX$ $color(white)("XXXX")$ $\to x < - 6$ $rarr x < -6$
or
[2] add $(4 x - 24)$ $(4x-24)$ to both sides
$XXXX$ $color(white)("XXXX")$ $\to - 24 < 4 x$ $rarr -24 < 4x$
then divide by $4$ $4$
$XXXX$ $color(white)("XXXX")$ $\to - 6 < x$ $rarr -6 < x$

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How do you solve $- 4 x - 8 > 16$ $-4x-8>16$ ?

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