Set 6: Linear Inequalities

Explanation

Answer: A

Solve: $-2 \leq \frac{x + 4}{3} < 2$

$-10 \leq x < 2$

✓ Correct

$-10 \leq x < 6$

$-2 \leq x < 2$

$-6 \leq x < 6$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Isolate $x$ in the center. 1. Multiply by 3: $-6 \leq x + 4 < 6$ 2. Subtract 4: $-10 \leq x < 2$ Strategic Tip: Multiply all three sections by the denominator first. Choice B is incorrect because it fails to subtract 4 from the right side correctly ( $6 -4=2$ , not 6). Choice C is incorrect because it ignores the multiplication step. Choice D is incorrect because it solves incorrectly.

Key Steps:

•

The correct answer is $-10 \leq x < 2$

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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