## Absolute Value Inequalities

Remember, absolute value means distance from zero on a number line. | x| < 4 means that x is a number that is less than 4 units from zero on a number line (see Figure 1).

Figure 1. Less than 4 from zero.

The solutions are the numbers to the right of –4 and to the left of 4 and could be indicated as

| x| > 4 means that x is a number that is more than 4 units from zero on a number line (see Figure 2).

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