AlgebraMediumTranslating 'at least' and 'no more than'
Algebra practice question
A lift's sign says it carries at least 2 and no more than 12 people. Which inequality represents the number of people p the lift may carry?
- A. 2 ≤ p ≤ 12Correct
- B. 2 < p < 12
- C. 2 ≤ p < 12
- D. p ≤ 12
Answer: A. 2 ≤ p ≤ 12
'At least 2' means p ≥ 2; 'no more than 12' means p ≤ 12. Both ends are included.
Why the other answers are wrong
- B. 2 < p < 12
- Strict inequalities exclude 2 and 12, but both are allowed.
- C. 2 ≤ p < 12
- 12 is allowed ('no more than 12').
- D. p ≤ 12
- Leaves out the minimum of 2.
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