Set 6: Linear Inequalities (Intermediate)

Explanation

Answer: A

Solve: $5< 3x + 2 < 11$

$1 < x < 3$

✓ Correct

$1 < x < 9$

$3 < x < 9$

$x < 1$ or $x > 3$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Solve the compound inequality. 1. Subtract 2: $3< 3 x < 9$ 2. Divide by 3: $1< x < 3$ Strategic Tip: Perform the inverse operations on all three parts. Choice B is incorrect because it fails to divide the right side by 3. Choice C is incorrect because it fails to divide by 3 at all. Choice D is incorrect because it uses "or" logic for an "and" inequality.

Key Steps:

•

The correct answer is $1< x < 3$

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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