Set 12: Linear Inequalities

Explanation

Answer: A

Solve: $\frac{x}{2} + 3 < 7$

$x < 8$

✓ Correct

$x < 20$

$x < 2$

$x > 8$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Solve the inequality. 1. Subtract 3: $\frac{x}{2} < 4$ 2. Multiply by 2: $x < 8$ Strategic Tip: Multiplying by a positive number keeps the inequality direction. Choice B is incorrect because it results from an error in the solution process. Choice C is incorrect because it results from an error in the solution process. Choice D is incorrect because wrong direction.

Key Steps:

•

The correct answer is $x < 8$

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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