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.