AlgebraMediumInequality with 'at most' and a fixed deduction
Algebra practice question
A café's daily takings T must cover $180 of fixed costs and leave at least $120 profit. Which inequality represents this?
- A. T − 180 ≥ 120Correct
- B. T − 180 ≤ 120
- C. T ≥ 120
- D. T + 180 ≥ 120
Answer: A. T − 180 ≥ 120
Profit is takings minus fixed costs, and 'at least 120' is ≥ 120. (So T ≥ 300.)
Why the other answers are wrong
- B. T − 180 ≤ 120
- ≤ would cap the profit.
- C. T ≥ 120
- Ignores the fixed costs.
- D. T + 180 ≥ 120
- Adds the costs instead of subtracting.
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