Use of Quantifier, Universal and Existential Quantification.

Universal Quantification ($\forall$): This quantifier means "for all," "for every," or "for each." It asserts that a property holds true for every element in a given domain.

• Symbol: $\forall x$ (read as "for all x")
• Example: $\forall x \in \text{Students}, \text{x has a student ID}$. This statement means "Every student has a student ID."

Existential Quantification ($\exists$): This quantifier means "there exists," "there is at least one," or "for some." It asserts that there is at least one element in a given domain for which a property holds true.

• Symbol: $\exists x$ (read as "there exists an x")
• Example: $\exists x \in \text{Students}, \text{x is enrolled in Calculus}$. This statement means "There is at least one student who is enrolled in Calculus."