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Solve the inequality -4(x + 4) > x + 7 - 2x + 3.

 Jun 2, 2022
 #1
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You can first expand the left side, from -4(x+4) to -4x-16

 

On the other side of the inequality, you can combine like terms, x+7-2x+3 = x-2x+7+3 = -x+10.

 

The simpolifies inequality is now -4x-16 > -x+10

Adding 4x to both sides, -16 > 3x+10

Subtracting 10 from both sides, -26 > 3x

Dividing 3 from both sides, -26/3 > x

Switching the inequality, we get x < -26/3

 

:) 

 Jun 2, 2022

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