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Definition of Sets

Let A = a,b,c...

Question

Let A = {a,b,{c,d},e}.
State, whether the following statement is true
$ϕ \in A$

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Solution

Since A = {a,b, {c,d},e}
Given statement $ϕ \in A$ is false because $ϕ$ does not belongs A but it is a subset of A.

Hence, $ϕ \subset A$

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Definition of Sets

Standard XII Mathematics

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