AlgebraHardGreatest value of a linear expression over an interval
Algebra practice question
If −2 ≤ x < 5, what is the greatest possible value of 3 − 2x?
Answer: 7
3 − 2x decreases as x increases, so it is greatest at the least x: 3 − 2(−2) = 7.
Common wrong answers
- If you answered 3
- 3 uses x = 0.
- If you answered 13
- 13 comes from 3 + 2(5), a sign slip.
- If you answered -7
- −7 comes from x = 5, which is excluded and gives the least value anyway.
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