Number Line Segment

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Which of the following inequalities is an algebraic expression for the shaded part of the number line above?

Review: Number Line Segment


Explanation

The answer choices to this question indicate that we will deal with absolute value. Absolute value measures the distance of a quantity from zero. Here we have a slightly asymmetric situation. The line segment is 5 ticks long. If this line segment were centered on zero, it would be . From that, we can see the answer must be (D) or (E). The term inside indicates the slight shift to the left. Which does it correctly? The center point of this line is ; that's what we are measuring distance from in this expression, so if we put that in, we should get zero.

The correct answer is (E).


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