AlgebraMediumCompound inequality from 'between'
Algebra practice question
A recipe says the oven temperature must be between 160°C and 180°C, inclusive. Which inequality represents the acceptable temperatures T?
- A. 160 ≤ T ≤ 180Correct
- B. 160 < T < 180
- C. T ≥ 160
- D. T ≤ 180
Answer: A. 160 ≤ T ≤ 180
'Between … inclusive' includes both ends: 160 ≤ T ≤ 180.
Why the other answers are wrong
- B. 160 < T < 180
- Strict inequalities exclude the endpoints, but they are included.
- C. T ≥ 160
- Leaves out the upper limit.
- D. T ≤ 180
- Leaves out the lower limit.
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