AlgebraMediumGreatest integer satisfying a compound inequality
Algebra practice question
If −3 ≤ 2x + 1 < 9, what is the greatest integer value of x?
Answer: 3
Subtract 1: −4 ≤ 2x < 8. Divide by 2: −2 ≤ x < 4. The greatest integer less than 4 is 3.
Common wrong answers
- If you answered 4
- 4 makes 2x + 1 = 9, and the inequality requires strictly less than 9.
- If you answered 8
- 8 is 2x's upper bound before dividing by 2.
- If you answered -2
- −2 is the least value of x, not the greatest.
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