Question 17
InequalitiesIf x is a positive real number, find the range of values for which 1/3x + ½ > 1/4x
- A.x > −1/6
- B.x > 0
- C.0 < x < 4
- D.0 < x < 1/6
Show the answer and explanation
Answer: B (x > 0)
Explanation
Since x > 0, multiply through by 12x: 4 + 6x > 3, so x > −1/6. Every positive number satisfies this, so the solution is all x > 0.