AlgebraHardInequality with a fractional coefficient
Algebra practice question
Which of the following describes all solutions of (2x)/3 + 1 ≤ 5?
- A. x ≤ 6Correct
- B. x ≤ 9
- C. x ≥ 6
- D. x ≤ 4
Answer: A. x ≤ 6
Subtract 1: 2x/3 ≤ 4. Multiply by 3/2: x ≤ 6.
Why the other answers are wrong
- B. x ≤ 9
- x ≤ 9 multiplies 4 by 3 but forgets to divide by 2.
- C. x ≥ 6
- x ≥ 6 reverses the direction, but nothing negative was multiplied.
- D. x ≤ 4
- x ≤ 4 forgets to multiply by 3/2.
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