5
algebra

Which number line represents x<3x < 3?

A

Closed circle at 3, arrow pointing left

B

Open circle at 3, arrow pointing left

C

Closed circle at 3, arrow pointing right

D

Open circle at 3, arrow pointing right

Correct Answer: B

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 x3x \leq 3, not x<3x < 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).