Set 11: Linear Inequalities (Intermediate)

Explanation

Answer: A

Which inequality represents the region ON or ABOVE the line $y = x + 2$ ?

$y \geq x + 2$

✓ Correct

$y > x + 2$

$y \leq x + 2$

$y < x + 2$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Match the keywords. 1. "On": Inclusive ( $\leq$ or $\geq$ ). 2. "Above": Greater than ( $>$ or $\geq$ ). 3. Combine: $\geq$ Strategic Tip: "On" means the line is solid and included in the solution. Choice B is incorrect because it excludes the line (strict inequality). Choice C is incorrect because it shades below. Choice D is incorrect because it shades below and excludes the line.

Key Steps:

•

The correct answer is $y \geq x + 2$

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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