AlgebraMediumInequality for a total that must not exceed a limit
Algebra practice question
An order of n items costs $4 per item plus $6 for shipping, and the total must not exceed $50. Which inequality represents this situation?
- A. 4n + 6 ≤ 50Correct
- B. 4n + 6 < 50
- C. 4n + 6 ≥ 50
- D. 4(n + 6) ≤ 50
Answer: A. 4n + 6 ≤ 50
"Must not exceed" means at most: 4n + 6 ≤ 50.
Why the other answers are wrong
- B. 4n + 6 < 50
- A total of exactly $50 is allowed, so ≤ rather than <.
- C. 4n + 6 ≥ 50
- This says the total must be at least $50.
- D. 4(n + 6) ≤ 50
- Shipping is not multiplied by 4.
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