Solve for x: -2x-4>8

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given the inequality:

-2x -4 > 8

Find the value of x.

Solution:

Transpose -4 in the other side of the equation. Note that when transposing a number, the sign changes.

-2x -4 > 8

-2x  > 8 + 4

-2x > 12

Divide both sides by -2 in order to get the value of x. A common rule for inequalities, that whenever a negative number is multiplied or divided on either side of the equation, the inequality sign changes.

-2x/-2 > 12/-2

x < -6

The value of x is less than -6.