Chapter 1.3, Problem 46WE

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 $\{0,3\}$ .

Answer to Problem 46WE

The equations are $2+x=3$ and $3-3=x$

Explanation of Solution

Given information: The solution set is given as $\{0,3\}$ over 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 $2+x=3$

here $x=1$ , so $2+x=3$

hence it is true

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

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

hence it is also true.

Conclusion: we can write any number of equations.