AlgebraMediumCompound inequality from a membership range
Algebra practice question
A club must have at least 12 members and at most 30. It currently has m members, and 5 more people are about to join. Which inequality describes all possible values of m for which the club will be within its limits after they join?
- A. 7 ≤ m ≤ 25Correct
- B. 12 ≤ m ≤ 30
- C. 17 ≤ m ≤ 35
- D. 7 < m < 25
Answer: A. 7 ≤ m ≤ 25
12 ≤ m + 5 ≤ 30 → 7 ≤ m ≤ 25.
Why the other answers are wrong
- B. 12 ≤ m ≤ 30
- Ignores the 5 who are joining.
- C. 17 ≤ m ≤ 35
- Adds 5 instead of subtracting it.
- D. 7 < m < 25
- The limits are inclusive.
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