How do you solve #-10<=x/-2#?

1 Answer
Dec 17, 2016

Answer:

#x <= 20#

Explanation:

We need to multiply each side of the inequality by #-2# to solve for #x#. However, when solving inequalities and you multiply or divide by a negative term this causes the inequality to reverse.

#-2 * -10 >= x/-2 * -2#

#20 >= x/(cancel(-2)) * cancel(-2)#

#20 >= x#

Or, to solve in terms of #x# we can reverse or "flip" the inequality:

#x <= 20#