If a = 3/5 , b =1/2 , c =3/4 . Verify the following. a × (b + c )= a × b + a × c .State the property also.You have to state the property alsoplease help me I will mark as brainliest

If a = 3/5 , b =1/2 , c =3/4 . Verify the following. a × (b + c )=

1.	If a = 3/5 , b =1/2 , c =3/4 . Verify the following. a × (b + c )= a × b + a × c .State the property also.You have to state the property alsoplease help me I will mark as brainliest
Answer» To verify : A×(B∩C)=(A×B)∩(A×C)We have B∩C={1,2,3,4}∩{5,6}=ϕ∴ L.H.S = A×(B∩C)=A×ϕ=ϕA×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.SHence A×(B∩C)=(A×B)∩(A×C)(ii) To verify: A×C is a subset of B×DA×C={(1,5),(1,6),(2,5),(2,6)}B×D={(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7), (3,8),(4,5),(4,6),(4,7),(4,8)}We can OBSERVE that all the elements of SET A×C are the elements of set B×D THEREFORE A×C is a subset of B×DStep-by-step explanation:Hope it is helpful for you MARK me as brainlist