Question

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

(i) A x(B ) = (A X B) (A X C)​

Answer 1

Answer:

(i) 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=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)

Answer 2

Step-by-step explanation:

10×24=10×24×10×60

=144000/10×24

=600