16Hit1600
AlgebraHardGreatest integer for an inequality with subtraction

Algebra practice question

What is the greatest integer x for which 10 − 3x > 1?

Answer: 2

−3x > −9 gives x < 3, so the greatest integer is 2.

Common wrong answers

If you answered 3
3 gives 10 − 9 = 1, which is not greater than 1.
If you answered 9
9 stops at 3x = 9.
If you answered -3
−3 forgets to reverse the inequality.

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