AlgebraHardInequality with variables on both sides
Algebra practice question
Which of the following describes all solutions of 5 − 2x < 3x − 10?
- A. x > 3Correct
- B. x < 3
- C. x > −3
- D. x < 1
Answer: A. x > 3
Add 2x and 10 to both sides: 15 < 5x, so x > 3.
Why the other answers are wrong
- B. x < 3
- x < 3 reverses the direction; check x = 4: −3 < 2 is true, so 4 IS a solution.
- C. x > −3
- x > −3 mishandles the constants (5 + 10 = 15, not −15).
- D. x < 1
- x < 1 comes from 5 − 2x < 3x − 10 solved as 5x < 5 with the wrong signs.
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