AlgebraHardSolving an inequality with a negative coefficient and negative constant
Algebra practice question
Which of the following describes all solutions of 4 − 3x > −11?
- A. x < 5Correct
- B. x > 5
- C. x < −5
- D. x > −5
Answer: A. x < 5
Subtract 4: −3x > −15. Divide by −3 and flip: x < 5.
Why the other answers are wrong
- B. x > 5
- x > 5 forgets to flip the inequality when dividing by a negative.
- C. x < −5
- x < −5 mishandles the sign of 15.
- D. x > −5
- x > −5 is wrong on both counts.
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