Set 11: Linear Inequalities

Explanation

Answer: A

Which point is in the solution set of $y > |x| - 2$ ?

$(0, 0)$

✓ Correct

$(2, 0)$

$(3, 0)$

$(0, -3)$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Test points. 1. Test (0,0): $0> |0| - 2 \rightarrow 0 > -2$ . True. 2. Test (2,0): $0> |2| - 2 \rightarrow 0 > 0$ . False. 3. Test (3,0): $0> |3| - 2 \rightarrow 0 > 1$ . False. 4. Test (0,-3): $-3 > |0| - 2 \rightarrow -3 > -2$ . False. Strategic Tip: The graph is a V-shape shifted down 2 units. Shading is "inside" the V. Choice B is incorrect (boundary). Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $(0, 0)$

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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