How do you solve the inequality $- 6 v - 3 > - 33$ $-6v-3> -33$ ?

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Answer 1 · 2016-06-02T20:30:21

$v < 5$ $v<5$

Given,

$- 6 v - 3 > - 33$ $-6v-3> -33$

Add $3$ $3$ to both sides.

$- 6 v - 3 i + 3 > - 33 i + 3$ $-6v-3color(white)(i)color(red)(+3)> -33color(white)(i)color(red)(+3)$

$- 6 v > - 30$ $-6v> -30$

Divide both sides by $- 6$ $-6$ .

$\frac{- 6 v}{- 6} > \frac{- 30}{- 6}$ $color(red)((color(black)(-6v))/(-6))> color(red)((color(black)(-30))/(-6))$

$v > 5$ $v>5$

Since you divided the inequality by a negative number, you must flip the sign.

$color(green)(|bar(ul(color(white)(a/a)color(black)(v<5)color(white)(a/a)|)))$

How do you solve the inequality -6v-3> -33−6v−3>−33-6v-3> -33?