Question 20
InequalitiesSolve the inequalities −6 ≤ 4 − 2x < 5 − x.
- A.−1 ≤ x < 6
- B.−1 < x ≤ 5
- C.−1 < x < 5
- D.−1 ≤ x ≤ 6
Show the answer and explanation
Answer: B (−1 < x ≤ 5)
Explanation
−6 ≤ 4 − 2x gives x ≤ 5. 4 − 2x < 5 − x gives x > −1. So −1 < x ≤ 5.