Chapter 1.4, Problem 60E

To determine

To calculate:explain the definition of absolute value.

Answer to Problem 60E

  $\left|a\right|=a\text{ if a}\ge 0$

  $\left|a\right|=-a\text{ if a<}0$ .

Explanation of Solution

Given information : consider, the number a for absolute value.

Calculation : for every number mod or absolute value gives the positive terms of that number so when inside the mod number is greater than 0 to do that number positive we take positive sign and when inside the mod number is less than 0 so, to do that number positive and remove the mod we use negative sign and remove the mod.

  $\left|a\right|=a\text{ if a}\ge 0$

  $\left|a\right|=-a\text{ if a<}0$