Chapter 1.4, Problem 9MRE

To determine

To solve: the equation $4x=4$ .

Answer to Problem 9MRE

  $x=1$

Explanation of Solution

Given:

  $x\in \left\{0,1,2,3,4\right\}$

Calculation:

First substitute $x=0$ ,

  $\begin{array}{c}4\left(0\right)=4\\ 0=4\end{array}$

This statement is false.

Now substitute $x=1$ ,

  $\begin{array}{c}4\left(1\right)=4\\ 4=4\end{array}$

This statement is true.

Now substitute $x=2$ ,

  $\begin{array}{c}4\left(2\right)=4\\ 8=4\end{array}$

This statement is false.

Now substitute $x=3$ ,

  $\begin{array}{c}4\left(3\right)=4\\ 12=4\end{array}$

This statement is false.

Now substitute $x=4$ ,

  $\begin{array}{c}4\left(4\right)=4\\ 16=4\end{array}$

This statement is false.

Thus, the solution of the given equation is $x=0$ .