AlgebraMediumValue not attainable under a strict bound
Algebra practice question
If 1 < x < 4, which of the following is NOT a possible value of 3x + 2?
- A. 14Correct
- B. 6
- C. 8
- D. 12
Answer: A. 14
For 1 < x < 4, 3x + 2 lies strictly between 5 and 14, so 14 itself is not attained.
Why the other answers are wrong
- B. 6
- 6 comes from x = 4/3, which is allowed.
- C. 8
- 8 comes from x = 2.
- D. 12
- 12 comes from x = 10/3.
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