JAMB Mathematics 1994 Question 17

Question 17

Inequalities

Find the range of values of x for which 1/x > 2 is true.

  1. A.x < ½
  2. B.x < 0 or > ½
  3. C.0 < x < ½
  4. 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.