Solve left|-1.5-1right|+left|3--1.5right|

$$\left| -1.5-1 \right| + \left| 3--1.5 \right|$$

Evaluate

$$7$$

Solution Steps

Subtract 1 from -1.5 to get -2.5.

$$|-2.5|+|3-\left(-1.5\right)|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -2.5 is 2.5.

$$2.5+|3-\left(-1.5\right)|$$

The opposite of -1.5 is 1.5.

$$2.5+|3+1.5|$$

Add 3 and 1.5 to get 4.5.

$$2.5+|4.5|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 4.5 is 4.5.

$$2.5+4.5$$

Add 2.5 and 4.5 to get 7.

$$7$$

Factor

$$7$$