Set 9: Linear Inequalities

Choice A is correct. Choice A is the correct answer. Multi-step inequalities with distribution require careful order of operations. 1. Distribute: $3(2 x) - 3(5) + 4 \leq 25$, giving $6x - 15 + 4 \leq 25$ 2. Combine like terms: $6x - 11 \leq 25$ 3. Add 11: $6x \leq 36$ 4. Divide by 6: $x \leq 4$ Strategic Tip: When distributing, multiply the coefficient by each term inside the parentheses, then combine like terms before isolating the variable. Choice B is incorrect because it reverses the inequality without justification (we divided by positive 6). Choice C is incorrect because it might result from incorrectly combining -15 and 4 to get -11, then adding to 25 incorrectly. Choice D is incorrect because it combines both wrong value and wrong direction.