Solve left|4-2right|+left|4-3right|+left|4-5right|

$$\left| 4-2 \right| + \left| 4-3 \right| + \left| 4-5 \right|$$

Evaluate

$$4$$

Solution Steps

Subtract 2 from 4 to get 2.

$$|2|+|4-3|+|4-5|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 2 is 2.

$$2+|4-3|+|4-5|$$

Subtract 3 from 4 to get 1.

$$2+|1|+|4-5|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 1 is 1.

$$2+1+|4-5|$$

Add 2 and 1 to get 3.

$$3+|4-5|$$

Subtract 5 from 4 to get -1.

$$3+|-1|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -1 is 1.

$$3+1$$

Add 3 and 1 to get 4.

$$4$$

Factor

$$2^{2}$$