Set 10: Linear Inequalities

Choice B is correct. Choice B is the correct answer. First solve the inequality, then test which value satisfies it. 1. Subtract 9: $4x + 9 - 9 \leq 25 - 9$, giving $4x \leq 16$ 2. Divide by 4: $x \leq 4$ 3. Test choices: Only $x = 3$ satisfies $x \leq 4$ 4. Verify: $4(3) + 9 = 12 + 9 = 21 \leq 25$ Strategic Tip: When choosing from specific values, solve the inequality first to establish the range, then identify which choices fall within it. Choice A is incorrect because $x = 5$ does not satisfy $x \leq 4$. Check: $4(5) + 9 = 29$, which is not $\leq 25$. Choice C is incorrect because $x = 6$ exceeds the solution $x \leq 4$. Choice D is incorrect because $x = 7$ is well beyond the solution range.