Question

Let A={x∈N∣1<x<4},B={x∈W∣0⩽x<2} and C={x∈N∣x<3 } . Then verify thatA×(B∪C)=( A×B)∪( A×C)​

Answer 1

Answer:

A= {2,3}

B={0, 1}

C={1,2}

2,3 x 0,1,2 = (2, 0) (2, 1) x (3, 0) (3, 1) U (2, 1) (2, 2) (3, 1) (3, 2)

(2, 0), (2, 1), (2, 2) (3, 0), (3, 1), (3, 2) = (2, 0), (2, 1), (3, 0), (3, 1), (3, 2) (2, 2)