Chapter 1.3, Problem 14WE

To determine

To solve: the equation $x÷2=2$ .

Answer to Problem 14WE

  $x=4$

Explanation of Solution

Given:

  $x\in \left\{0,1,2,3,4,5\right\}$

Calculation:

First substitute $x=0$ ,

  $0÷2=0$

But $0\ne 2$

So, False

Now substitute $x=1$ ,

  $1÷2=\frac{1}{2}$

But $\frac{1}{2}\ne 2$

So, False

Now substitute $x=2$ ,

  $2÷2=1$

But $1\ne 2$

So, False

Now substitute $x=3$ ,

  $3÷3=\frac{3}{2}$

But $\frac{3}{2}\ne 2$

So, False

Now substitute $x=4$ ,

  $4÷2=2$

As $2=2$

So, true

Now substitute $x=5$ ,

  $5÷2=\frac{5}{2}$

But $\frac{5}{2}\ne 2$

So, False

Thus, the solution of the given equation is $x=4$ .