Algebra practice question

Answer: A. x < 7

Expand: 3x − 6 < 2x + 1. Subtract 2x: x − 6 < 1. Add 6: x < 7. Check x = 0: −6 < 1 is true.

Why the other answers are wrong

B. x > 7

The direction is wrong. Nothing here required dividing by a negative, so the sign stays as it was.

C. x < 1

x < 1 forgets to add the 6: from x − 6 < 1, x < 7.

D. x < −5

x < −5 subtracts 6 instead of adding it: x − 6 < 1 means x < 7.

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