Advertisement Remove all ads

For Any Two Sets a and B, Prove the Following: a ∩ ( a ′ ∪ B ) = a ∩ B - Mathematics

For any two sets A and B, prove the following: 

\[A \cap \left( A' \cup B \right) = A \cap B\] 

Advertisement Remove all ads

Solution

\[LHS = A \cap \left( A' \cup B \right)\]
\[ = \left( A \cap A' \right) \cup \left( A \cap B \right)\]
\[ = \left( \phi \right) \cup \left( A \cap B \right)\]
\[ = A \cap B = RHS\]

Hence proved.

Concept: Universal Set
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 1 Sets
Exercise 1.7 | Q 2.1 | Page 34
Advertisement Remove all ads

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×