Chapter 3.7, Problem 1P

Solve each equation. Graph and check your solutions.

$\left|b\right|=\frac{2}{3}$

To determine

To solve:Solve $\left|b\right|=\frac{2}{3}$ and draw the graph.

Answer to Problem 1P

  $b=\frac{2}{3},-\frac{2}{3}$

Explanation of Solution

Given:

  $\left|b\right|=\frac{2}{3}$

Calculation:

  $\begin{array}{l}\left|b\right|=\frac{2}{3}\\ =>{\left(\left|b\right|\right)}^2={\left(\frac{2}{3}\right)}^2[Squaringbothsides]\\ =>b^2={\left(\frac{2}{3}\right)}^2[\because |x{|}^2=x^2]\\ =>b=\pm \frac{2}{3}[Takingrootoveronbothsides]\end{array}$

The graph of the equation is given by