Algebra practice question

Answer: A. x ≤ 3

Subtract 2: 3x ≤ 9. Divide by 3: x ≤ 3. Check x = 3: 9 + 2 = 11, allowed by ≤.

Why the other answers are wrong

B. x ≥ 3

The direction is wrong; dividing by positive 3 keeps the ≤.

C. x ≤ 13/3

13/3 comes from adding 2 instead of subtracting it: (11 + 2)/3.

D. x < 3

x < 3 excludes x = 3, but 3(3) + 2 = 11 satisfies 'less than or equal to 11'.

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