AlgebraHardGreatest value satisfying an inequality with distribution
Algebra practice question
What is the greatest value of x that satisfies 5 − 2(x + 1) ≥ 3x + 8?
Answer: -1
5 − 2x − 2 ≥ 3x + 8 → 3 − 2x ≥ 3x + 8 → −5 ≥ 5x → x ≤ −1. The greatest such value is −1.
Common wrong answers
- If you answered 1
- 1 has the wrong sign: −5x ≥ 5 gives x ≤ −1 after dividing by a negative.
- If you answered -5
- −5 is the value before dividing by 5.
- If you answered -3
- −3 comes from 5 − 2x + 2 ≥ 3x + 8, distributing the sign wrongly.
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