Question

( with explanation)

Let A= {x | x is a factor of 8}, B={x | xis a factor of 12}.
Then prove that A ∩ B= B ∩ A.

Answer 1

A={1,2,4,8},      B={1,2,4,6,12}
A ∩ B={1,2,4,8} ∩ {1,2,4,6,12}= {1,2,4}
B ∩ A= {1,2,4,6,12} ∩ {1,2,4,8} = {1,2,4}
∴ A ∩ B= B ∩ A

Answer 2

Factors of 8=1 2 4 8 Factors of12=1 2 3 4 6 12 A intersection b=b intersection a (1,2,4)=(1.2,4)