16Hit 1600
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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