Set 10: Linear Inequalities (Advanced)
Explanation
Which number line represents ?
Closed circle at 3, arrow pointing left
Open circle at 3, arrow pointing left
Closed circle at 3, arrow pointing right
Open circle at 3, arrow pointing right
Detailed Explanation
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 or . Arrow direction matches "less than" (left) or "greater than" (right). Choice A is incorrect because it uses a closed circle, which would represent , not . 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).
Key Steps:
The correct answer is Open circle at 3, arrow pointing left
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