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

1 Answer
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