Set 14: Linear Inequalities (Advanced)

Choice A is correct. Choice A is the correct answer. Clear fractions first, then solve the resulting inequality. 1. Multiply by 3: $3\cdot \frac{5 x-10}{3} > 3 \cdot 5$, giving $5x - 10 > 15$ 2. Add 10: $5x > 25$ 3. Divide by 5: $x > 5$ Strategic Tip: Multiplying both sides by the denominator (when positive) eliminates fractions without changing inequality direction. Choice B is incorrect because it reverses the inequality without justification. Choice C is incorrect because it might come from adding 10 and 15 to get 25, then dividing by something other than 5. Choice D is incorrect because it combines wrong value (7) with wrong direction.