Algebra practice question

Answer: A. x < −6

Multiply both sides by −3 and reverse the inequality: x < −6. Check x = −9: −(−9)/3 = 3 > 2.

Why the other answers are wrong

B. x > −6

The direction must flip when multiplying by a negative. At x = 0, −0/3 = 0, which is not greater than 2.

C. x < 6

x < 6 loses the sign; at x = 0 the inequality fails.

D. x > 6

x > 6 gives negative values of −x/3, never greater than 2.

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