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Chapter 0: Problem 68

Solve each absolute value inequality. $$|x|>5$$

Short Answer

Expert verified
The solution is \(x < -5\) or \(x > 5\).

Step by step solution

01

Understand Absolute Value

The absolute value of a number is its distance from 0 on the number line. Since distance can't be negative, the absolute value of a number is always positive. For |x| > 5, x can either be more than 5 or less than -5.
02

Write down the Inequality

For |x| > 5, the inequalities can be written down as two separate inequalities x > 5 or x < -5.
03

Solution Set

From the given inequalities, the solution set could be all real numbers less than -5, and all real numbers greater than 5.

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Most popular questions from this chapter

Explain how to solve \(x^{2}+6 x+8=0\) by completing the square.

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