Set 11: Linear Inequalities (Intermediate)

Choice A is correct. Choice A is the correct answer. Distribution and combining like terms are essential for multi-step inequalities. 1. Distribute: $5x - 10 \geq 3 x + 12$ 2. Subtract 3 x: $5x - 3 x - 10 \geq 3 x - 3 x + 12$, giving $2x - 10 \geq 12$ 3. Add 10: $2x \geq 22$ 4. Divide by 2: $x \geq 11$ Strategic Tip: Always distribute first before combining like terms in inequalities with parentheses. Choice B is incorrect because it reverses the inequality without justification. Choice C is incorrect because it might result from errors in combining constants or coefficients. Choice D is incorrect because it combines both wrong value and wrong direction.