AlgebraMediumSolving an inequality with distribution
Algebra practice question
Which of the following gives all values of x that satisfy 2(x − 1) ≤ 3x + 4?
- A. x ≥ −6Correct
- B. x ≤ −6
- C. x ≥ 6
- D. x ≤ 6
Answer: A. x ≥ −6
2x − 2 ≤ 3x + 4 gives −6 ≤ x.
Why the other answers are wrong
- B. x ≤ −6
- The direction is wrong.
- C. x ≥ 6
- The sign of 6 is wrong.
- D. x ≤ 6
- Both the sign and the direction are wrong.
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