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

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Answer 1 · 2016-06-02T20:30:21

#v<5#

Given,

#-6v-3> -33#

Add #3# to both sides.

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

#-6v> -30#

Divide both sides by #-6#.

#color(red)((color(black)(-6v))/(-6))> color(red)((color(black)(-30))/(-6))#

#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)|)))#