Q2. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
(iv) If A B and B C , then A C
The given statement is false
Let , A = {1,2}
B = {3,4,5 }
C = { 1,2,6,7,8}
Here, {1,2} {3,4,5 } = A B and {3,4,5 } { 1,2,6,7,8} = B C
But , {1,2} { 1,2,6,7,8} = A C