Question 18
InequalitiesEvaluate the inequality x/2 + 3/4 ≤ 5x/6 − 7/12
- A.x ≤ −4
- B.x ≥ 4
- C.x ≤ 3
- D.x ≥ −3
Show the answer and explanation
Answer: B (x ≥ 4)
Explanation
Multiply through by 12: 6x + 9 ≤ 10x − 7. Then 16 ≤ 4x, so x ≥ 4.
Evaluate the inequality x/2 + 3/4 ≤ 5x/6 − 7/12
Answer: B (x ≥ 4)
Multiply through by 12: 6x + 9 ≤ 10x − 7. Then 16 ≤ 4x, so x ≥ 4.