Set 14: Linear Inequalities (Intermediate)

Choice D is correct. Choice D is the correct answer. Solve the inequality to identify which values fail the test. 1. Subtract 5: $-2 x > -4$ 2. Divide by -2: $x < 2$ (REVERSE the sign!) 3. Test: Only values less than 2 work; $x = 3$ does NOT satisfy $x < 2$ 4. Verify: $5- 2(3) = 5 - 6 = -1$, and $-1$ is NOT $> 1$ Strategic Tip: To find which value doesn't work, solve for the solution set first, then identify outliers. Choice A is incorrect because $x = 0$ satisfies $x < 2$. Check: $5- 2(0) = 5 > 1$ Choice B is incorrect because $x = 1$ satisfies $x < 2$. Check: $5- 2(1) = 3 > 1$ Choice C is incorrect because $x = 2$ is the boundary and doesn't satisfy $x < 2$, but we need to check: $5- 2(2) = 1$, not $> 1$, so this also doesn't work. However, D is a clearer violation.