Question

If ∪ ={a,e,i,o,u} A= {a,e,i} And B= {e,o,u} C= {a,i,u} Then Verify that A ∩ (B-C) = (A∩B)-(A∩C)​

Answer 1

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}

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}

From (1) and (2), we have

A−(B∪C)=(A−B)∩(A−C)

Answer 2

Answer:

Step-by-step explanation: