Chapter 1.4, Problem 17PPS

To determine

To evaluate: the given expression.

Answer to Problem 17PPS

  $\left|b-c\right|=9.2$

Explanation of Solution

Given information:

Given expression

  $\left|b-c\right|$

And

  $a=-3,b=-5$ , and $c=4.2$ .

Concept used:

Absolute value of a function a is given by

  $\left|a\right|=\{\begin{array}{l}aa>0\\ -aa<0\\ 0a=0\end{array}$ \

And

  $\begin{array}{l}\left|-a\right|=a\\ \left|a\right|=a\end{array}$

Calculation:

Consider the given expression.

  $\left|b-c\right|$

Substitute the value of $b$ and $c$ in the given expression,

  $\begin{array}{c}\left|b-c\right|=\left|-5-4.2\right|\\ =\left|-9.2\right|\\ =9.2\left[\left|-a\right|=a\right]\end{array}$

Hence, the value of the expressionis $9.2$ .