Question

determine whether the following is a true statement. {hayley} ⊂ {stan, francine, hayley, steve} the statement is because the symbol ⊂ means and {hayley} is the given set

Explanation:

Step1: Define subset symbol meaning

The symbol $\subseteq$ means "is a subset of", where every element of the first set must be an element of the second set.

Step2: Compare set elements

Check elements of $\{\text{Hayley}\}$: the only element is Hayley, which is present in $\{\text{Stan, Francine, Hayley, Steve}\}$.

Step3: Evaluate the statement

Since all elements of the first set are in the second set, the subset condition is satisfied.

Answer:

The statement is true because the symbol $\subseteq$ means "is a subset of" and $\{\text{Hayley}\}$ is a subset of the given set.