Chapter 1.4, Problem 19E

To determine

To solve: the equation and graph the solution.

Answer to Problem 19E

The solution is $b=6\text{ or }b=-\frac{7}{2}$ and graphed the solution.

Explanation of Solution

Given:

  $\left|4b-5\right|=19$

Calculation:

  $\begin{array}{l}\left|4b-5\right|=19\text{ Given}\\ 4b-5=19\text{ or }4b-5=-19\text{ Write two related linear equations}\\ 4b-5+5=19+5\text{ or }4b-5+5=-19+5\text{ Add both sides of both equations by 5}\\ \frac{4b}{4}=\frac{24}{4}\text{ or }\frac{4b}{4}=\frac{-14}{4}\text{ Divide both sides of both equations by 4 }\\ b=6\text{ or }b=-\frac{7}{2}\text{ Simplify}\end{array}$

The graph of its solutions would be:

  

Conclusion:

Therefore, the solution is $b=6\text{ or }b=-\frac{7}{2}$ and graphed the solution.