Set 9: Linear Inequalities

Explanation

Answer: A

Which graph represents $y \geq 2$ ?

Solid horizontal line at y=2, shading above

✓ Correct

Solid vertical line at x=2, shading right

Dashed horizontal line at y=2, shading above

Solid horizontal line at y=2, shading below

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Analyze the line type and direction. 1. $y = 2$ : Horizontal line. 2. $\geq$ : Solid line, shading above (greater y-values). Strategic Tip: $y=k$ is horizontal. $x=k$ is vertical. Choice B is incorrect because it graphs $x \geq 2$ . Choice C is incorrect because it uses a dashed line (strict inequality). Choice D is incorrect because it shades below ( $y \leq 2$ ).

Key Steps:

•

The correct answer is Solid horizontal line at y=2, shading above

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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