Question

SOLVE THE INEQUALITY -X/7+ 4 ≥ 3X A. x ≤ 14/11 B. x ≤ 2/5 C. x ≤ 2/1 D. x ≥ –1

Answer 1

You can eliminate fractions by multiplying the whole thing by 7.

... -x +28 ≥ 21x

Now, add x to get all x-terms on the right. Then, divide by the coefficient of x.

... 28 ≥ 22x

... 28/22 ≥ x

This fraction can be reduced, so we have ...

... A. x ≤ 14/11