Chapter 1.3, Problem 45WE

To determine

To calculate: Write two different equations for which the solution set over the domain $\{0,1,2,3,4\}$ is the given set $\{0,1,2,3,4\}$ .

Answer to Problem 45WE

The equations are $3+x=4$ and $3-x=3.$

Explanation of Solution

Given information: The solution set is given as $\{0,1,2,3,4\}$ and the domain is also $\{0,1,2,3,4\}$

Calculation:We can write any number of equations whose answer is $\{0,1,2,3,4\}$ .

Let $x=1$ , then we can write a equation $3+x=4$

here $x=1$ , so $3+1=4$

hence it is true

and another equation we can write as $3-x=3$

here $x=0$ ,, so $3-0=3$

hence it is also true.

Conclusion: we can write any number of equations.