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you have mentioned first , A, B & C are sets.
Then mentioned , A belongs to B, which is inappropriate. Because, a set can not belong to the other set. “ Belongs to” is meant for only elements. And if all elements of A belong to B. Then, it's written as A is subset of B.
So, if A is a subset of B & B is a subset of C. Then , A is a subset of C… is a true statement
I will show with an example.
A = { 2,5,7,8} B = { 1, 2, 3, 4, 5 , 6 , 7, 8, 9 } &
C = { 0, 1,2,3,4,5,6,7,8,9,10,11,12,13}
Here, A is a subset of B & B is a subset of C. So A is a subset of C.
Even if a set is null set. It's true. Because null set is a subset of every set.
Step-by-step explanation:
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