AlgebraMediumInterpreting a solution set in context
Algebra practice question
A theatre must sell at least 150 tickets to cover the cost of a performance, and it has 300 seats. If t is the number of tickets sold at a performance that covers its cost, which inequality represents the possible values of t?
- A. 150 ≤ t ≤ 300Correct
- B. 150 < t < 300
- C. t ≥ 150
- D. t ≤ 300
Answer: A. 150 ≤ t ≤ 300
At least 150 (t ≥ 150) and no more than the 300 seats (t ≤ 300).
Why the other answers are wrong
- B. 150 < t < 300
- Both 150 and 300 are possible values, so the ends are included.
- C. t ≥ 150
- Ignores the seat limit.
- D. t ≤ 300
- Ignores the minimum.
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