Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

determine whether the following is a true statement sweden⊆{denmark, sw…

Question

determine whether the following is a true statement
sweden⊆{denmark, sweden, norway, finland, iceland}
the statement is not a true statement because the symbol ⊆ means \is a subset of\ and \sweden\ is not equivalent to the given set

Explanation:

Step1: Define subset rule

A set $A \subseteq B$ iff every element of $A$ is an element of $B$, and $A$ must be a set.

Step2: Analyze the given statement

"Sweden" is a single element, not a set. The symbol $\subseteq$ requires both sides to be sets.

Answer:

The statement is not a true statement because the symbol $\subseteq$ means "is a subset of" and "Sweden" is a single element (not a set), so it cannot be a subset of the given set. A subset relationship only applies between two sets, not an element and a set.