## Filters

Q&A - Ask Doubts and Get Answers
Q

# Using properties of sets, show that (i) A ∪ ( A ∩ B ) = A

Q9. Using properties of sets, show that

(i) A $\cup$ ( A $\cap$ B ) = A

Views

(i) A $\cup$ ( A $\cap$ B ) = A

We know that  A $\subset$ A

and       A $\cap$ B $\subset$ A

A $\cup$ ( A $\cap$ B )  $\subset$  A

and also , A $\subset$  A $\cup$ ( A $\cap$ B )

Hence,  A $\cup$ ( A $\cap$ B ) = A

Exams
Articles
Questions