Question

Find A={3,6,9, 12, 15} B = {4,8,12, 16, 20}
and c= {5, 10, 15, 20}
, then prove
the associative Property of union of set​

Answer 1

Answer:

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, BUC = {2, 3, 4, 5, 6, 8}

A-(BUC) will have elements of A which are not in (BLC)

So, A - (BUC) = {1} (1)

For the RHS:

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

So, A - B = {1,3,5}

AC 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) n (A − C) = {1} (2)

From (1) and (2), we have

A-(BUC) = (A − B) ^ (A − C)

Hence, the given expression is true.