Questions: State whether the statement is true or false. ∅ ∉ True False

State whether the statement is true or false.
∅ ∉ 
True
False
Transcript text: State whether the statement is true or false. \[ \varnothing \notin\{\} \] True False
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Solution

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Solution Steps

Step 1: Define the Empty Set

We start by defining the empty set, denoted as \( \varnothing \). By definition, the empty set contains no elements.

Step 2: Check Membership

We need to determine if the empty set \( \varnothing \) is an element of itself. Mathematically, we are checking if \( \varnothing \in \varnothing \).

Step 3: Evaluate the Membership

Since the empty set contains no elements, it cannot contain itself as an element. Therefore, \( \varnothing \notin \varnothing \) is true.

Final Answer

\(\boxed{\text{True}}\)

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