Problem

Determine whether the following statement is true or false.
\{Francine $\} \subseteq\{$ Stan, Francine, Hayley, Steve $\}$
The statement is because the symbol $\subseteq$ means and "\{Francine\}" is the given set.

Answer

Expert–verified
Hide Steps
Answer

Final Answer: The statement is \(\boxed{true}\).

Steps

Step 1 :Determine whether the following statement is true or false. \{Francine \} \subseteq \{Stan, Francine, Hayley, Steve \}

Step 2 :The symbol \(\subseteq\) represents 'is a subset of'.

Step 3 :The given set is \{Francine\}.

Step 4 :The question is asking whether the set containing only Francine is a subset of the set containing Stan, Francine, Hayley, and Steve.

Step 5 :In set theory, a set A is a subset of a set B if every element of A is also an element of B.

Step 6 :In this case, the only element of the first set (Francine) is indeed an element of the second set.

Step 7 :Therefore, the statement is true.

Step 8 :Final Answer: The statement is \(\boxed{true}\).

link_gpt