Lesson: Basic Arithmetic - 07t01

Apply Definitions To Questions, continued

Click on the correct answer, then click Continue.

If , which of the following MUST be true? x > 5 x < –5 x > –5 x 5 x > 0

This question is testing your understanding of absolute values. If , that means that or . Solving for x we get:

	Either , so x > 5.
	Or: , so:

Remember to reverse the inequality sign when you multiply or divide an inequality by a negative number!

So, x > 5 or x < –5. Answer choices (1) and (2) are only half-correct. The range of values in answer choices (3) and (5) are too broad and therefore incorrect.

Answer choice (4) is the only answer that must be true. If x = 5, then . 1 is not greater than 1.

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