For example:

|-15| = 15,

|20| = 20,

|1 - 9| = | -8 | = 8,

| 0 | = 0.

Example problem:

What is |3 - 4|?

Answer:

|3 -4| = | -1| = 1.

Example problem:

What is |3| + | -4|?

Answer:

|3| + | -4| = 3 + 4 = 7.

Example problem:

What is |3| - |4|?

Answer:

|3| - |4| = 3 - 4 = -1.

Example problem:

what is |( |3| - |4| )|?

Answer: 1.

Note that for any two real numbers, a and b:

|a| + |b| {tex} \geq \ {/tex} |a + b|.

This is called the Triangle Inequality for absolute values.