2
algebra

Which graph represents x<2x < -2 or x1x \geq 1?

A

Open circle at -2 shading left, closed circle at 1 shading right

B

Closed circle at -2 shading left, open circle at 1 shading right

C

Shading between -2 and 1

D

Open circle at -2 shading right, closed circle at 1 shading left

Correct Answer: A

Choice A is the correct answer. "Or" inequalities typically graph as two outward-pointing rays.

  1. x<2x < -2: Strict inequality \rightarrow Open circle at -2, shade Left.
  2. x1x \geq 1: Inclusive inequality \rightarrow Closed circle at 1, shade Right.
  3. Combine: Two separate shaded regions.

?�� Strategic Tip: "Or" usually means "Outward" (away from each other), while "And" usually means "Inward" (between two values).

Choice B is incorrect because it swaps the circle types (closed for <<, open for \geq). Choice C is incorrect because it represents an "And" inequality (2<x1-2 < x \leq 1). Choice D is incorrect because it shades the wrong directions.