Set 3: Linear Inequalities

Choice B is correct. Choice B is the correct answer. Number line representation matches algebraic notation precisely. 1. Symbol: $<$ is a strict inequality, so use an open circle (3 is NOT included) 2. Direction: "Less than 3" means all values to the LEFT of 3 3. Arrow: Points left toward smaller values Strategic Tip: Open circles for $<$ or $>$; closed circles for $\leq$ or $\geq$. Arrow direction matches "less than" (left) or "greater than" (right). Choice A is incorrect because it uses a closed circle, which would represent $x \leq 3$, not $x < 3$. Choice C is incorrect because while having a circle at 3, it points right (greater than direction), wrong for $<$. Choice D is incorrect because it combines an open circle (correct) with rightward arrow (incorrect direction).