AlgebraEasy–MediumGreatest integer solution of an inequality with a negative coefficient
Algebra practice question
What is the greatest integer x for which 7 − 3x is greater than 1?
Answer: 1
−3x > −6 gives x < 2, so the greatest integer is 1.
Common wrong answers
- If you answered 2
- 2 gives 7 − 6 = 1, which is not greater than 1.
- If you answered 6
- 6 stops at 3x = 6.
- If you answered -2
- −2 forgets to reverse the inequality.
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