Question

If $A \subset B$ and $B \subset C$, then A \subset C[/tex]. State whether the statement is True (or) False And Justify it

Answer 1

Here, $A\subset B$ and $B\subset C$ then we have to justify $A\subset C$ is true or false statement.

Let us assume A , B and C such that $A\subset B$ and $B\subset C$
so, A = {1, 2, 3, 4} , B = {1, 2, 3, 4, 5, 6, 7}
C = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}

here, you can see that,
{1, 2, 3, 4} $\subset$ {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
or, $A\subset C$

hence, statement is true.

Answer 2

Answer:

True

Step-by-step explanation:

Given statement :

" If A⊂B and B⊂C then A⊂C "

[ ∵ Transitive property of property of subset ]

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