Question

If A = { 1,2,5} ,B ={1,2,3,4} and C = {5,6,2} then verify that

(i) A x(B interaction C ) = (A X B) intersection (A X C)
ii) (A-B)× C= (A×C)- (B×C)​

Answer 1

Step-by-step explanation:

L.H.S =>A×(B interaction C)

=>{1,2,5}×[{1,2,3,4} interaction {5,6,2}]

=>{1,2,5}×{2}

R.H.S=>(A×B) interaction (A×C)

=>[{1,2,5}×{1,2,3,4}] interaction [{1,2,5}×{5,6,2}]

=>{1,2,5}×{2}

·: L.H.S =R.H.S =>Provided