12+Absolute+Value+Inequalities

Section 6-5 Absolute Value is the distance of x from zero." For example, since both –2 and 2 are two units from zero, we have | –2 | = | 2 | = 2
 * First, what is absolute value?**

You should also know how to solve a linear equality.




 * Here is an Example of Absolute Value Inequality:**


 * x + 2| < 3

The above inequality is solved by writing a compound inequality equivalent to the given inequality but without absolute value.

- 3 < x + 2 < 3

Solve the compound inequality to obtain

- 5 < x < 1

The above solution set is written in interval form:

(-5, 1)

How to write Interval Notation **Use** **[** **or** **]** **for closed dots** **Use** **(** **or** **)** **for open dots **  Practice Problems:

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