10

Set 2: Linear Inequalities (Intermediate)

Explanation

Answer: A

Solve: 12<x4<32\frac{1}{2} < \frac{x}{4} < \frac{3}{2}

A.

2<x<62 < x < 6

✓ Correct
B.

2<x<32 < x < 3

C.

1<x<31 < x < 3

D.

4<x<64 < x < 6

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Multiply all parts by 4. 1. Multiply: 4(12)<x<4(32)4(\frac{1}{2}) < x < 4(\frac{3}{2}) 2. Simplify: 2<x<62< x < 6 Strategic Tip: Clear the denominator of the variable term. Choice B is incorrect because it fails to multiply the right side correctly. Choice C is incorrect because it fails to multiply correctly. Choice D is incorrect because it multiplies incorrectly.

Key Steps:

•

The correct answer is 2<x<62< x < 6

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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