AlgebraVery hardEquivalent inequality
Algebra practice question
Which of the following inequalities has the same solution set as 4 − x ≥ 2x + 1?
- A. x ≤ 1Correct
- B. x ≥ 1
- C. x ≤ −1
- D. x ≤ 5/3
Answer: A. x ≤ 1
4 − x ≥ 2x + 1 gives 3 ≥ 3x, so x ≤ 1.
Why the other answers are wrong
- B. x ≥ 1
- The direction is reversed; no division by a negative occurred.
- C. x ≤ −1
- Sign error on the constant.
- D. x ≤ 5/3
- 5/3 comes from 5 ≥ 3x, adding 1 instead of subtracting.
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