AlgebraHardLargest integer under a linear cap
Algebra practice question
What is the greatest integer k for which 6k + 5 < 50?
Answer: 7
6k < 45 gives k < 7.5, so the greatest integer is 7.
Common wrong answers
- If you answered 8
- k = 8 gives 53, which is not less than 50.
- If you answered 45
- 45 is 6k's bound; divide by 6 and take the greatest integer below 7.5.
- If you answered 7.5
- 7.5 is the exact bound; the greatest integer below it is 7.
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