Question

Let A = The set of all natural numbers less than 8, B = The set of all prime

numbers less than 8, C = The set of even prime number. Verify that

(i) ( A ∩ B ) × C = ( A × C ) ∩ ( B × C )​

Answer 1

Answer:

(A n b ) × c = (A×c)n (B×c)

a×(b-c)=(a×b) -(a×c)

Step-by-step explanation:

to verify:

1. (AnB)×c=(a× b)-(a×c)n(b×c)
2. a×(b-c)=(a×b)-(a×c)

Given:

a={1,2,3,4,5,6,7}

b={2,3,5,7}

c={2}