Set 2: Linear Inequalities

Explanation

Answer: A

Which graph represents $x \geq -1$ and $y \leq 2$ ?

Region right of x=-1 and below y=2

✓ Correct

Region left of x=-1 and below y=2

Region right of x=-1 and above y=2

Region left of x=-1 and above y=2

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Intersect the two regions. 1. $x \geq -1$ : Right of vertical line $x=-1$ . 2. $y \leq 2$ : Below horizontal line $y=2$ . 3. Intersection: Bottom-right quadrant formed by these lines. Strategic Tip: $x$ controls left/right, $y$ controls up/down. Choice B is incorrect because it shades left ( $x \leq -1$ ). Choice C is incorrect because it shades above ( $y \geq 2$ ). Choice D is incorrect because it shades left and above.

Key Steps:

•

The correct answer is Region right of x=-1 and below y=2

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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