Question

Give an example of a multi-step equation for

each of the following solutions.
a. all numbers
b. null set

Answer 1

An example of a multi-step equation for all numbers is 2x + 5 = 10. An example of a multi-step equation for a null set is 3x + 7 = 3x + 9.

Step-by-step explanation:

Example of a multi-step equation for all numbers:

2x + 5 = 10

2x = 10 - 5

2x = 5

x = 5/2

Example of a multi-step equation for a null set:

3x + 7 = 3x + 9

7 = 9

In the first example, the equation has a solution of x = 5/2, which means any number substituted for x will make the equation true. In the second example, the equation results in a contradiction, showing that there are no numbers that satisfy the equation simultaneously.

Summary:

An example of a multi-step equation for all numbers is 2x + 5 = 10. An example of a multi-step equation for a null set is 3x + 7 = 3x + 9, which results in a contradiction.

Learn more about Multi-step equations