How do you solve #-2m>100#?

1 Answer
smendyka
Aug 3, 2017

See a solution process below:

Explanation:

Divide each side of the inequality by #color(blue)(-2)# to solve for #m# while keeping the inequality balanced. However, because we are dividing or multiplying an inequality by a negative number we need to reverse the inequality operator:

#(-2m)/color(blue)(-2) color(red)(<) 100/color(blue)(-2)#

#(color(blue)(cancel(color(black)(-2)))m)/cancel(color(blue)(-2)) color(red)(<) -50#

#m < -50#

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