Set 3: Linear Inequalities

Choice B is correct. Choice B is the correct answer. First solve the inequality to find the solution set. 1. Add 3: $2x - 3 + 3 \geq 7 + 3$, giving $2x \geq 10$ 2. Divide by 2: $x \geq 5$ 3. Check choices: $x = 5$ is the minimum value that satisfies $x \geq 5$ 4. Verify: $2(5) - 3 = 10 - 3 = 7 \geq 7$ Strategic Tip: The boundary value (here, 5) satisfies $\geq$ but not $>$ inequalities. Choice A is incorrect because $x = 4$ does not satisfy $x \geq 5$ (4 is less than 5). Choice C is incorrect because $x = 3$ is below the solution range. Choice D is incorrect because $x = 2$ is well below the minimum value of 5.