9
algebra

Which inequality is equivalent to 3x0|3 - x| \geq 0?

A

All real numbers

B

x3x \geq 3

C

x3x \leq 3

D

x=3x = 3

Correct Answer: A

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.