# Thread: Need some practice Problems.

1. ## Need some practice Problems.

Can anybody on here give me some practice problems or some problems you know online from somewhere for set theory? Particularly where we have two sets are equal, and I have to prove by algebraic manipulation that they are equal. Moreover, where the way to go about is not that clear visually in a venn diagram. Particularly using, distribuitiy, associativity, commutativity, Demorgan's law, and things like where we use B-A= B and Complement of A. The point being here though is that it should not be seen visually easily. If any of you could create some problems for me would be cool. Thank you. Professor said to just write equations and do them myself to get practice, but idk if that is a good approach because I would have to think if they are equal or not. However, I could just do expressions and expand or simplify. etc.

For reference this was a previous exam question.

Let A,x,y be sets. A intersect x = a intersect y. and A union x = A union y.

prove that x=y.

2. ## Re: Need some practice Problems.

Originally Posted by math951
Can anybody on here give me some practice problems or some problems you know online from somewhere for set theory? Particularly where we have two sets are equal, and I have to prove by algebraic manipulation that they are equal. Moreover, where the way to go about is not that clear visually in a venn diagram. Particularly using, distribuitiy, associativity, commutativity, Demorgan's law, and things like where we use B-A= B and Complement of A. The point being here though is that it should not be seen visually easily. If any of you could create some problems for me would be cool. Thank you. Professor said to just write equations and do them myself to get practice, but idk if that is a good approach because I would have to think if they are equal or not. However, I could just do expressions and expand or simplify. etc.

For reference this was a previous exam question.

Let A,x,y be sets. A intersect x = a intersect y. and A union x = A union y.

prove that x=y.
setspdf.pdf
I hope you can open this file. If you can use page down to view the file.