Question 17
InequalitiesFind the range of values of x for which 1/x > 2 is true.
- A.x < ½
- B.x < 0 or > ½
- C.0 < x < ½
- D.1 < x < 2
Show the answer and explanation
Answer: C (0 < x < ½)
Explanation
1/x can only be greater than 2 if x is positive. Then multiplying by x gives 1 > 2x, so x < ½. Together: 0 < x < ½.