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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Check all that apply.

x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x

Respuesta :

MrGumby

The correct answer is –6x + 15 < 10 – 5x.

We can tell this by solving for x.

–3(2x – 5) < 5(2 – x) ----> Multiply to the parenthesis.

-6x + 15 < 10 - 5x ----> This is answer #3 and now we add 5x to both sides

-x + 15 < 10 ----> subtract 15 from both sides

-x < -5 ----> Divide by -1

x > 5 (Note that you have to change the direction of the sign when dividing by a -1. Therefore it does not match answer #1).

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