AlgebraHardParameter values that give a positive solution
Algebra practice question
For which values of the constant k does the equation 3x + k = 5 have a positive solution for x?
- A. k < 5Correct
- B. k > 5
- C. k < −5
- D. k > −5
Answer: A. k < 5
x = (5 − k)/3, which is positive exactly when 5 − k > 0, that is, k < 5.
Why the other answers are wrong
- B. k > 5
- For k > 5 the solution is negative.
- C. k < −5
- k < −5 is only part of the answer; values like k = 0 also work.
- D. k > −5
- k > −5 includes k = 10, which gives x = −5/3.
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