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AlgebraEasy–MediumCompound inequality for a storage temperature

Algebra practice question

A vaccine must be stored at a temperature t, in degrees Celsius, that is at least 2 and at most 8. Which inequality represents the allowed temperatures?

  1. A. 2 ≤ t ≤ 8Correct
  2. B. 2 < t < 8
  3. C. t ≤ 2 or t ≥ 8
  4. D. t ≥ 8

Answer: A. 2 ≤ t ≤ 8

'At least 2' and 'at most 8' include both endpoints.

Why the other answers are wrong

B. 2 < t < 8
This excludes 2 and 8.
C. t ≤ 2 or t ≥ 8
This is the range outside the limits.
D. t ≥ 8
This ignores the upper limit.

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