## absolute value |x|

### The absolute value of a number x, denoted as |x|, is the non-negative value of x irrespective of its sign

The absolute value of a number x, denoted as |x|, is the non-negative value of x irrespective of its sign. In simpler terms, taking the absolute value of a number gives its distance from zero on a number line.

To find the absolute value of a number:

1. If the number is positive, the absolute value is the same number. For example, |4| = 4.

2. If the number is negative, the absolute value is its opposite (removing the negative sign). For example, |-4| = 4.

For instance, if x = -5, then |x| = 5, as it is the distance between -5 and 0 on the number line. Similarly, if x = 7, then |x| = 7, as the distance from 7 to 0 is 7.

The absolute value function is often used in various mathematical operations, equations, and inequalities, as it provides a magnitude without considering the direction or sign.

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