Chapter EP, Problem 1.4.13EP

To determine

To solve: The equation $\left|p+1\right|+10=5$ .

Answer to Problem 1.4.13EP

The equation $\left|p+1\right|+10=5$ has no solutions.

Explanation of Solution

Given:

The equation is $\left|p+1\right|+10=5$ .

Calculation:

Remove the mod from the equation.

  $\begin{array}{c}\left|p+1\right|+10=5\\ \left|p+1\right|=5-10\\ \left|p+1\right|=-5\end{array}$

The absolute value of any equation can never be negative.

Therefore, the it can be concluded that the given equation has no solution.