AlgebraEasy–MediumGreatest value in a solution set
Algebra practice question
If −2x + 7 ≥ 1, what is the greatest possible value of x?
- A. 3Correct
- B. 4
- C. −3
- D. −4
Answer: A. 3
Subtract 7: −2x ≥ −6. Divide by −2 and reverse the sign: x ≤ 3. The greatest allowed value is 3. Check: −6 + 7 = 1 ≥ 1.
Why the other answers are wrong
- B. 4
- 4 fails: −8 + 7 = −1, which is not ≥ 1. The inequality flips when dividing by −2.
- C. −3
- −3 satisfies the inequality, but it isn't the greatest value: 3 works too.
- D. −4
- −4 also works but is even smaller. The boundary is x = 3.
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