Algebra practice question

Answer: A. x ≤ 6

2x − 8 ≥ 3x − 14, so 6 ≥ x.

Why the other answers are wrong

B. x ≥ 6

x ≥ 6 reverses the direction; check x = 7: 6 ≥ 7 is false.

C. x ≤ −6

x ≤ −6 mishandles the constants (−8 + 14 = 6, not −6).

D. x ≥ −22

x ≥ −22 comes from adding the constants with the wrong signs.

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