3

Set 16: Linear Inequalities

Explanation

Answer: A

Which graph represents x>2x > -2?

A.

Open circle at -2, arrow pointing right

✓ Correct
B.

Closed circle at -2, arrow pointing right

C.

Open circle at -2, arrow pointing left

D.

Closed circle at -2, arrow pointing left

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Interpret the inequality. 1. >> (strict): Use an open circle (boundary not included) 2. Greater than: Arrow points to the right (larger values) Strategic Tip: Open circle = strict (<,><, >). Closed circle = inclusive (,\leq, \geq). Choice B is incorrect because >> requires an open circle. Choice C is incorrect because greater than points right. Choice D is incorrect because both circle type and direction are wrong.

Key Steps:

The correct answer is Open circle at -2, arrow pointing 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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