Question

let A=(1,2,3) and B=(2,3,4) and C=(4,5) verify that
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Answer 1

Answer:

B intersection C={4}

A×B={(1,2),(1,3),(1,4),(2,2),(2,3),(2,4),(3,2),(3,3),(3,4)

A×C={(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)

hence,A×B intersection C={1,2,3}×{4}={(1,4),(2,4),(3,4)}

And( A×B )Intersection(A×C)={(1,4),(2,4),(3,4)}

Answer 2

Answer:

hello

Step-by-step explanation:

We have B∩C={1,2,3,4}∩{5,6}=ϕ

∴ L.H.S = A×(B∩C)=A×ϕ=ϕ

A×B={(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4)}

A×C={(1,5),(1,6),(2,5),(2,6)}

∴R.H.S.=(A×B)∩(A×C)=ϕ

∴L.H.S=R.H.S

Hence A×(B∩C)=(A×B)∩(A×C)

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