6

Set 7: Linear Inequalities (Advanced)

Explanation

Answer: A

Solve: 3x+1>103x + 1 > 10 and x+2<4x + 2 < 4

A.

No solution

✓ Correct
B.

2<x<32 < x < 3

C.

x>3x > 3

D.

x<2x < 2

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Solve independently. 1. First: 3x>9x>33x > 9 \rightarrow x > 3 2. Second: x<2x < 2 3. Combine: x>3x > 3 AND x<2x < 2 4. Logic: No number is both greater than 3 and less than 2. Strategic Tip: If the intervals don't overlap, the answer to an "AND" problem is No Solution. Choice B is incorrect because it assumes overlap. Choice C is incorrect because it ignores the second constraint. Choice D is incorrect because it ignores the first constraint.

Key Steps:

The correct answer is No solution

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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