AlgebraHardInequality requiring a flip
Algebra practice question
Which of the following describes all solutions of 7 − 3x ≤ 1?
- A. x ≥ 2Correct
- B. x ≤ 2
- C. x ≥ −2
- D. x ≤ −2
Answer: A. x ≥ 2
Subtract 7: −3x ≤ −6. Divide by −3 and flip: x ≥ 2.
Why the other answers are wrong
- B. x ≤ 2
- x ≤ 2 forgets to flip when dividing by a negative.
- C. x ≥ −2
- x ≥ −2 gets the sign of 2 wrong (−6/−3 = 2).
- D. x ≤ −2
- x ≤ −2 is wrong on both counts.
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