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.
(ii) If A B and B C , then A C
The given statement is false,
Let , A = {1}
B = { 1,2,3}
C = {0,{1,2,3},4}
Here, {1} { 1,2,3} = A B and { 1,2,3} {0,{1,2,3},4} = B C
But, {1} {0,{1,2,3},4} = A C