Question

determine whether the following is a true statement. canada⊆{mexico, canada, united states} the statement is
because the symbol ⊆ means
and \canada\ is
the given set.

Explanation:

Step1: Define subset symbol

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

Step2: Analyze the sets

The left side is a single element "Canada", not a set. A subset relationship requires both sides to be sets, and even if we consider $\{\text{Canada}\}$, the subset definition applies to sets, not individual elements.

Step3: Evaluate the statement

Since "Canada" is an element, not a set, the subset statement is invalid/false.

Answer:

The statement is false because the symbol $\subseteq$ means "is a subset of" and "Canada" is an element of the given set, not a subset.