Find all values of x satisfying the inequality -11 \(\leq\) 4 - 3x \(\leq\) 28

A.

-5 \(\leq\) x v 8

B.

5 \(\leq\) x \(\leq\) 8

C.

-8 \(\leq\) x \(\leq\) 5

D.

-5 < x \(\leq\) 8

Correct answer is C

To solve -11 \(\leq\) 4 - 3x \(\leq\) 28

-11 \(\leq\) 4 - 3x also 4 -3x \(\leq\) 28

15 \(\leq\) -3x \(\leq\) 24 = 15 \(\geq\) 3x - 3x \(\geq\) -24

-5 \(\geq\) x, x \(\geq\) -8

i.e. x \(\leq\) 5

∴ -8 \(\leq\) x \(\leq\) 5