Final answer:
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.
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