Question

If A={1,3,5,7} B={2,4,6,7,} find (i) A v B (ii) A n B (iii) A - B​

Answer 1

Step-by-step explanation:

Given the sets A = {1, 3, 5 }, B = {2, 4, 6 } and C = {0, 2, 4, 6, 8 } , which of the following may be considered as universal set (s) for all the three ...

Answer 2

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)