Question

If A = { 1,2,3,4} B = {2,4,5,8} C = {3,4,5,6,7} . Find A interection ( B U C )​

Answer 1

Answer:

Step-by-step explanation:

Given, A={1,2,3,4,5},B={2,4,6,8} and C={3,4,5,6}

⇒For the LHS:

Union of two sets will have the elements of both sets.

⇒So, B∪C={2,3,4,5,6,8}  

A−(B∪C) will have elements of A which are not in (B∪C)

⇒So, A−(B∪C)={1} ..... (1)

For the RHS:

A−B will have elements of A which are not in B.

⇒So, A−B={1,3,5}  

A−C will have elements of A which are not in C.

So, A−C={1,2}  

Intersection of two sets has the common elements of both the sets.  

⇒(A−B)∩(A−C)={1} ..... (2)

⇒From (1) and (2), we have

A−(B∪C)=(A−B)∩(A−C)

⇒Hence, the given expression is true.

Answer 2

Answer:

the required result and it's procedure is written in the given picture...