AlgebraMediumRange of a dimension from bounds on an area
Algebra practice question
A rectangle has a width of 8 units. Its area must be at least 120 square units and at most 200 square units. Which inequality describes all possible values of the length L, in units?
- A. 15 ≤ L ≤ 25Correct
- B. 120 ≤ L ≤ 200
- C. 15 < L < 25
- D. L ≥ 15
Answer: A. 15 ≤ L ≤ 25
120 ≤ 8L ≤ 200 → 15 ≤ L ≤ 25.
Why the other answers are wrong
- B. 120 ≤ L ≤ 200
- Those are the area bounds, not divided by the width.
- C. 15 < L < 25
- 'At least' and 'at most' include the endpoints.
- D. L ≥ 15
- Omits the upper bound.
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