7

Set 1: Linear Inequalities

Explanation

Answer: A

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

A.

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

✓ Correct
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

Detailed Explanation

Choice A is correct. 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.

Key Steps:

The correct answer is Open circle at -2 shading left, closed circle at 1 shading right

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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