Set 3: Linear Inequalities (Intermediate)

Choice A is correct. Choice A is the correct answer. Solve the decimal inequality. 1. Subtract 0.5: $0.2x > 1.3 - 0.5$, giving $0.2x > 0.8$ 2. Divide by 0.2: $x > \frac{0.8}{0.2}$ 3. Simplify: $x > 4$ Strategic Tip: You can also multiply by 10 first: $2x + 5 > 13 \rightarrow 2 x > 8 \rightarrow x > 4$. Choice B is incorrect because it reverses the inequality direction. Choice C is incorrect because it incorrectly divides 0.8 by 2 instead of 0.2, or makes a decimal place error. Choice D is incorrect because it combines wrong value and wrong direction.