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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