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1.Set Theory
easy
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.
If $A \subset B$ and $B \subset C,$ then $A \subset C$
Option A
Option B
Option C
Option D
Solution
True
Let $A \subset B$ and $B \subset C$
Let $x \in A$
$\Rightarrow x \in B \quad[\because A \subset B]$
$\Rightarrow x \in C \quad[\because B \subset C]$
Standard 11
Mathematics
