Set 8: Linear Inequalities (Intermediate)

Explanation

Answer: A

Which inequality is equivalent to $|3 - x| \geq 0$ ?

All real numbers

✓ Correct

$x \geq 3$

$x \leq 3$

$x = 3$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Absolute value property. 1. Property: Absolute value is always non-negative. 2. Statement: "Absolute value is greater than or equal to 0". 3. Conclusion: This is always true for any real number. Strategic Tip: Don't solve if you can recognize a tautology (always true statement). Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is All real numbers

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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