Set 16: Linear Inequalities (Intermediate)

Choice A is correct. Choice A is the correct answer. Distribute and solve. 1. Distribute: $5x + 10 \leq 7 x + 4$ 2. Subtract 5 x: $10\leq 2 x + 4$ 3. Subtract 4: $6\leq 2 x$ 4. Divide by 2: $3\leq x$, which is equivalent to $x \geq 3$ Strategic Tip: Reading $3\leq x$ backwards as $x \geq 3$ is a crucial skill. Choice B is incorrect because it reverses the inequality direction ($x \leq 3$). Choice C is incorrect because it uses negative 3. Choice D is incorrect because it uses negative 3 and wrong direction.