The symbol shown in the image is "∃". This is the mathematical symbol for "there exists."

The correct answer is:

• there exist.

This symbol is commonly used in mathematical logic and set theory to denote the existence of at least one element in a given set that satisfies a particular property or condition.

Would you like more details or have any questions?

Here are some related questions you might find interesting:

1. What is the difference between "there exists" (∃) and "for all" (∀) in mathematical logic?
2. How is the "there exists" symbol used in proofs and logical statements?
3. What are some common uses of quantifiers like "there exists" and "for all" in mathematics?
4. Can the "there exists" symbol be used in combination with other logical symbols?
5. How does the "there exists" symbol apply in real-world mathematical applications?

Tip: Remember that the "there exists" (∃) symbol is often used in statements that establish the existence of an element with a certain property, as opposed to statements about all elements (∀).