Chapter 1.4, Problem 23E

To determine

To Solve: The given equation

Answer to Problem 23E

Here, the solution for the given equation is to graph is $s=6$.

Explanation of Solution

Given:

  $3=-2|\frac{1}{4}s-5|+3$

Calculation:

Solve:

Given

  $3=-2|\frac{1}{4}s-5|+3$

  $-2|\frac{1}{4}s-5|+3=3$

Divide both sides by $3$

  $-2|\frac{1}{4}s-5|+3=3-3$

Divide both sides by $-2$

  $\frac{-2|\frac{1}{4}s-5|}{-2}=\frac{0}{-2}$

Simplify

  $|\frac{1}{4}s-5|=0$

  $\frac{1}{4}s-5=0$

Add both sides by $5$

  $\frac{1}{4}s-5+5=0+5$

Multiply both sides by $4$

  $\left(4\right)\frac{1}{4}s=5\left(4\right)$

Simplify

  $s=6$

The graph of its solutions would be :

  

Conclusion:

Therefore, the solution for the given equation is to graph is $s=6$.