How do you solve #-4x - 7 > 11#?

1 Answer
Wayne
Mar 25, 2016

#x<-4.5#

Explanation:

The solution starts off just as if you were solving an equation:

#-4x-7 >11# Add 7 to both side of your equation.

#-4x-7+7>11+7# simplify

#-4x>18#

The next obvious step is to divide both sides of the inequality by #-4#, and this is correct. BUT, you must remember that when solving an inequality, if you multiply or divide by a negative, the inequality sign reverses. So the final step is:

#(-4x)/-4< 18/-4#

#x<-4.5#

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