How do you solve #32> -2y#?

1 Answer
Jan 3, 2017

Answer:

Divide each side of the inequality by #-2# but ensure you follow the rule for inequalities when multiplying or dividing by negative numbers. See full explanation below.

Explanation:

Divide each side of the inequality by #color(red)(-2)# to solve for #y# and keep the equation balanced.

However, because this is an inequality and we are multiplying or dividing by a negative number we must reverse the inequality.

#32/color(red)(-2) color(blue)(<) (-2y)/color(red)(-2)#

#-16 < (color(red)(cancel(color(black)(-2)))y)/cancel(color(red)(-2))#

#-16 < y#

And now, to solve in terms of #y# we can reverse or #flip# the inequality:

#y > -16#