Set 16: Linear Inequalities (Intermediate)

Choice A is correct. Choice A is the correct answer. Solving two-step inequalities systematically prevents errors. 1. Add 7: $3x - 7 + 7 \leq 11 + 7$, giving $3x \leq 18$ 2. Divide by 3: $\frac{3 x}{3} \leq \frac{18}{3}$, giving $x \leq 6$ 3. Interpretation: All values up to and including 6 satisfy this inequality Strategic Tip: Always perform inverse operations in the correct order: handle addition/subtraction before multiplication/division. Choice B is incorrect because it reverses the inequality sign without mathematical justification. Choice C is incorrect because it appears to subtract 7 from 11 to get 4, then divide by 3, skipping proper steps. Choice D is incorrect because it shows only the intermediate step $3x \leq 18$ without dividing by 3.