Set 11: Linear Inequalities (Advanced)

Explanation

Answer: A

Solve: $x + 3 < 1$ or $x - 2 > 5$

$x < -2$ or $x > 7$

✓ Correct

$x < -2$ or $x > 3$

$-2 < x < 7$

$x < 4$ or $x > 7$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Solve independently. 1. First: $x < -2$ 2. Second: $x > 7$ 3. Combine: $x < -2$ or $x > 7$ Strategic Tip: "Or" inequalities don't need to overlap. Choice B is incorrect because it solves the second part incorrectly. Choice C is incorrect because it tries to form an "and" interval. Choice D is incorrect because it solves the first part incorrectly.

Key Steps:

•

The correct answer is $x < -2$ or $x > 7$

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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