3

Set 16: Linear Inequalities (Advanced)

Explanation

Answer: A

Solve: 5x<25- x < 2 or 5x>85- x > 8

A.

x>3x > 3 or x<3x < -3

✓ Correct
B.

x<3x < 3 or x>3x > -3

C.

x>3x > 3 or x>3x > -3

D.

3<x<3-3 < x < 3

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Solve each part. 1. Part 1: x<3x>3-x < -3 \rightarrow x > 3 (Reverse!) 2. Part 2: x>3x<3-x > 3 \rightarrow x < -3 (Reverse!) 3. Combine: x>3x > 3 or x<3x < -3 Strategic Tip: Dividing by -1 reverses inequality signs in both cases. Choice B is incorrect because it fails to reverse signs. Choice C is incorrect because it combines incorrectly. Choice D is incorrect because it tries to form an "and" interval.

Key Steps:

The correct answer is x>3x > 3 or x<3x < -3

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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