How do you solve #-9v + 7( v - 3) > - 33#?

1 Answer
Jim G.
Aug 8, 2017

#v<6#

Explanation:

#"simplify the left side by distributing bracket and collecting"#
#"like terms"#

#rArr-9v+7v-21> -33#

#rArr-2v-21> -33#

#"add 21 to both sides"#

#-2vcancel(-21)cancel(+21)> -33+21#

#rArr-2v> -12#

#"divide both sides by - 2"#

#"when multiplying/dividing an inequality by a negative"#
#"quantity we must "color(red)"reverse the inequality sign"#

#(cancel(-2) v)/cancel(-2)<(-12)/(-2)larrcolor(red)" reverse the sign"#

#rArrv<6" is the solution"#

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