Set 6: Linear Inequalities

Choice A is correct. Choice A is the correct answer. Collect variables on one side. 1. Add 3 x: $7> x + 5$ 2. Subtract 5: $2> x$, or $x < 2$ Alternatively: 1. Add 2 x: $-x + 7 > 5$ 2. Subtract 7: $-x > -2$ 3. Divide by -1: $x < 2$ (reverse sign) Strategic Tip: Both methods work. Adding $3x$ avoids dividing by a negative. Choice B is incorrect because it reverses the inequality direction. Choice C is incorrect because it uses negative 2. Choice D is incorrect because it uses negative 2 and wrong direction.