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

User Yudijohn
by
8.5k points

2 Answers

13 votes

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

User Hoseung Choi
by
8.4k points
10 votes

Answer:

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

User Robba
by
8.0k points

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