AlgebraHardSolving an inequality with a fractional coefficient
Algebra practice question
Which of the following describes all solutions of x/2 − 3 > 1?
- A. x > 8Correct
- B. x > 2
- C. x > −4
- D. x < 8
Answer: A. x > 8
Add 3: x/2 > 4. Multiply by 2: x > 8.
Why the other answers are wrong
- B. x > 2
- x > 2 multiplies 1 by 2 without first adding 3.
- C. x > −4
- x > −4 subtracts 3 instead of adding.
- D. x < 8
- x < 8 flips the direction, but multiplying by the positive 2 keeps it.
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