Which of the following is the solution statement for the inequality shown below? 4>x-3/-6>-2 A. -27 < x < 9 B. -21 < x < 15 C. -21 > x or x < 15 D. 24 &l…

Question

Which of the following is the solution statement for the inequality shown below?

4>x-3/-6>-2



A. -27 < x < 9

B. -21 < x < 15

C. -21 > x or x < 15

D. 24 < x < 12

Answer 1

Option B.

You can start by multipliying by - 6 to obtain:

-24 < x - 3 < 12 [note that the > signs changed to < as a consequence of muliplying by a negative factor.

Next add 3

-24 + 3 < x - 3 + 3 < 12 +3

-21 < x < 15