Question

determine whether the following is a true statement. bobby∈{hank, peggy, luanne, bobby} the statement is because the symbol ∈ means and \bobby\ is the given set.

Explanation:

Step1: Define set membership symbol

The symbol $\in$ means "is an element of".

Step2: Check element in set

The set is $\{\text{Hank, Peggy, Luanne, Bobby}\}$, and "Bobby" is listed as one of its elements.

Step3: Evaluate statement truth

Since Bobby is an element of the set, the statement is true.

Answer:

The statement is $\boldsymbol{\text{true}}$ because the symbol $\in$ means $\boldsymbol{\text{is an element of}}$ and "Bobby" is $\boldsymbol{\text{an element of}}$ the given set.