logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
Home  >>  AIMS  >>  Class11  >>  Math  >>  Sets
0 votes

Let B be a subset of A and let P(A : B) = (X $ \in $ P(A) : X $ \supseteq$ B}. Show that P(A : $ \phi $) = P(A).

Can you answer this question?
 
 

1 Answer

0 votes
Given, P(A : B) = set of all those subsets of A which are supersets of B.
$ \therefore $ P(A = $ \phi $) = set of all those subsets of A which are supersets of $ \phi $.
= set of all subsets of A [$ \because$ every subset of A is a superset of $ \phi $]
= P(A)
answered Jun 12, 2014 by thanvigandhi_1
 

Related questions

Ask Question
student study plans
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...