Set 11: Linear Inequalities

Choice A is correct. Choice A is the correct answer. Translate the sentence phrase by phrase. 1. "Three times a number minus 5": $3x - 5$ 2. "Is at most": $\leq$ 3. "4 more than twice the number": $2x + 4$ 4. Combine: $3x - 5 \leq 2 x + 4$ Strategic Tip: "At most" means less than or equal to ($\leq$). "More than" in "4 more than..." means addition ($+4$). Choice B is incorrect because "at most" includes equality, so $<$ is wrong. Choice C is incorrect because it groups $(x-5)$, implying "Three times the difference of a number and 5". Choice D is incorrect because $\geq$ means "at least", not "at most".