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Ratling [72]
2 years ago
14

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

Mathematics
2 answers:
Lena [83]2 years ago
8 0

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

Sergeu [11.5K]2 years ago
5 0

Answer:

x < -3

Step-by-step 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

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