Set 7: Linear Inequalities

Choice A is correct. Choice A is the correct answer. Graphing requires solving first, then correctly placing the circle and arrow. 1. Subtract 5: $-4 x \leq 12$ 2. Divide by -4: $x \geq -3$ (REVERSE the sign!) 3. Graph: Closed circle at -3 (includes -3), arrow right (greater than) Strategic Tip: After dividing by a negative, double-check that you reversed the inequality before graphing. Choice B is incorrect because while the closed circle at -3 is correct, the arrow points left (representing $x \leq -3$), wrong direction. Choice C is incorrect because the boundary should be -3, not positive 3. Choice D is incorrect because it has both the wrong sign on the boundary and the wrong arrow direction.