SOLUTION: Given set A= {m,n,o,p} A. Find a subset B of A B. Find a subset C of B C. Is C a subset of A? D. Is there a general rule of this? Thank you. ^-^

Algebra ->  Equations -> SOLUTION: Given set A= {m,n,o,p} A. Find a subset B of A B. Find a subset C of B C. Is C a subset of A? D. Is there a general rule of this? Thank you. ^-^       Log On


   

Question 975116: Given set A= {m,n,o,p}
A. Find a subset B of A
B. Find a subset C of B
C. Is C a subset of A?
D. Is there a general rule of this?
Thank you. ^-^
Found 2 solutions by solver91311, Edwin McCravy:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


B could be any of , , , , , ,,,,,,,,,, or .

In general, a set with elements has subsets.

You can't define C until you have defined B.

Regardless, if C is indeed a subset of B, then C is a subset of A given that B is a subset of A.

In general if and then

John

My calculator said it, I believe it, that settles it

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Given set A= {m,n,o,p}
A. Find a subset B of A

        B = {m,o,p}

B. Find a subset C of B

        C = {m,p} 

C. Is C a subset of A?

       yes

D. Is there a general rule of this?

Yes, the transitive property of subset.  A subset of a subset of a given set is
a subset of the given set.  In symbols, if A ⊆ B  and B ⊆ C, then A ⊆ C.  

Edwin