Algebra practice question

Answer: A. x > 4

Solve it like an equation: subtract 3 from both sides to get 2x > 8, then divide by 2 to get x > 4. Dividing by a POSITIVE number keeps the inequality sign as it is.

Why the other answers are wrong

B. x < 4

The inequality sign only flips when you multiply or divide by a NEGATIVE number. Here you divided by +2, so it stays as >.

C. x > 7

7 is 14/2 — the 3 was added instead of subtracted. Subtracting 3 from 11 gives 8, and 8/2 = 4.

D. x ≥ 4

The original inequality is strict (>), so 4 itself is not a solution: 2(4) + 3 = 11, and 11 > 11 is false.

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