AlgebraHardWhich value fails an inequality
Algebra practice question
Which of the following values of x is NOT a solution of the inequality 3(x − 2) < 5x + 4?
- A. −6Correct
- B. −4
- C. 0
- D. 3
Answer: A. −6
Solve: 3x − 6 < 5x + 4, so −10 < 2x and x > −5. The value −6 is not greater than −5. (Check: 3(−8) = −24 is not less than 5(−6) + 4 = −26.)
Why the other answers are wrong
- B. −4
- −4 > −5, so it is a solution: −18 < −16 ✓.
- C. 0
- 0 is a solution: −6 < 4 ✓.
- D. 3
- 3 is a solution: 3 < 19 ✓.
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