14. What is the solution set for the inequality x + 1 <= (6/x)?

A.

B.

C.

D.

E.

 

Solution: The answer is A

If x > 0 then we can multiply through by x to get

Since x > 0 the last inequality will be true for 0 < x <= 2.

If x < 0 and we multiply through by x, the sense of the inequality changes and we get

Since x < 0, this inequality will be true for x <= -3.

Thus the answer is A.