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Set 3: Linear Inequalities (Intermediate)

Explanation

Answer: A

Which inequality represents the region strictly between x=1x = -1 and x=4x = 4?

A.

1<x<4-1 < x < 4

✓ Correct
B.

1x4-1 \leq x \leq 4

C.

x<1x < -1 or x>4x > 4

D.

y<1y < -1 or y>4y > 4

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Vertical band between two x-values. 1. Strictly between: Excludes boundaries <,>\rightarrow <, > 2. Inequality: 1<x<4-1 < x < 4 Strategic Tip: Vertical lines involve xx, horizontal lines involve yy. Choice B is incorrect because it includes boundaries. Choice C is incorrect because it represents the outside regions. Choice D is incorrect because it uses yy instead of xx.

Key Steps:

The correct answer is 1<x<4-1 < x < 4

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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