Logic & Set Theory; Boolean Algebra; Relations & Functions

Discussion

Logic & Set Theory; Boolean Algebra; Relations & Functions

1. Write 80- to 100-word short-answer response to the following:

Explain what it means for one set to be a subset of another set. How do you prove that one set is a subset of another set?

1. Write 80- to 100-word short-answer response to the following:

What is the empty set? Show that the empty set is a subset of every set.

1. Write  80- to 100-word short-answer response to the following:            

What are the union, intersection, difference, and symmetric difference of the set of positive integers and the set of odd integers?

1. Write 80- to 100-word short-answer response to the following:

Describe as many of the ways as you can to show that two sets are equal.

1. Write 80- to 100-word short-answer response to the following:

Explain the relationship between logical equivalences and set identities

1. Write 80- to 100-word short-answer response to the following:

Define what it means for a function from the set of positive integers to the set of positive integers to be one-to-one.

1. Write 80- to 100-word short-answer response to the following:

Define what it means for a function from the set of positive integers to the set of positive integers to be onto.

APA format requires a concluding paragraph which sums up the wholepaper.                                                                 

Format your paper consistent with APA guidelines.