Question

4. If A = {ac : x € W, x < 2), B = {x : x € N, 1 < x < 5} and C = {3, 5), then find
(i) A x (B n C)
(ii) A x (BUC)​

Answer 1

Answer:

The given sets are:

A={x:x∈N}={1,2,3,4.....}

B={x:x=2n,n∈N}={2,4,6,8,10....}

C={x:x=2n−1,n∈N}={1,3,5,7,9.......}

D={x:x is a prime number}={2,3,5,7,11,13....}

∴ A∩B={1,2,3,4....}∩{2,4,6,8....}

={2,4,6,8....}

=B

Hence

A∩B=B