Quadratic Inequality

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Which of the following describes all values of x for which ?

Review: Quadratic Inequality


Explanation

In this question, we have an inequality in which x is not isolated, so we can work to isolate it:





When we take the square root, there are two cases: x is positive, or x is negative.

Case I (positive):

Case II (negative):

We can make sense of these results by considering that x is not a fraction with an absolute value of less than 1. Therefore, it must either be right of 1 on the number line or left of -1.

The correct answer is (D).


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