Question

4(-4x - 3) > 36 with the steps

Answer 1

Answer is x < -3

4(-4x-3) > 36

Expand the brackets

-16x - 12 > 36

Rearrange the inequality to get x on its own

-16x > 36 + 12

-16x > 48

Divide both sides by -16 in order to get x on its own. When dividing both sides of the inequality by a negative number, flip the inequality sign (as this is one of the laws of inequalities)

x < 48/-16

x < -3

Answer 2

x < -3

Explanation:

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

−4x−3> 36/4

​Divide 36 by 4 to get 9.

−4x−3>9

Add 3 to both sides.

−4x>9+3

Add 9 and 3 to get 12.

−4x>12

Divide both sides by −4. Since −4 is negative, the inequality direction is changed.

x< 12/-4

​ Divide 12 by −4 to get −3.

x < -3