AlgebraHardInequality with x on both sides
Algebra practice question
Which of the following describes all solutions of 9 − 2x > 3x − 6?
- A. x < 3Correct
- B. x > 3
- C. x < −3
- D. x > 15
Answer: A. x < 3
Add 2x and 6: 15 > 5x, so x < 3.
Why the other answers are wrong
- B. x > 3
- x > 3 reverses the direction; check x = 4: 1 > 6 is false.
- C. x < −3
- x < −3 mishandles the constants (9 + 6 = 15, not −15).
- D. x > 15
- x > 15 forgets to divide by 5 and reverses the direction.
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