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Identify the quantifier in the following...

Identify the quantifier in the following and state its type `:`
Some real numbers are rational.

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To solve the question, we need to identify the quantifier in the statement "Some real numbers are rational" and determine its type. ### Step-by-Step Solution: 1. **Identify the Statement**: The statement given is "Some real numbers are rational." 2. **Locate the Quantifier**: In this statement, the word "Some" indicates the presence of a quantifier. 3. **Determine the Type of Quantifier**: - There are two main types of quantifiers: - **Existential Quantifier**: This type is used to express that there exists at least one element in a set that satisfies a certain property. It is often denoted by the phrase "there exists" or "some." - **Universal Quantifier**: This type indicates that a property holds for all elements in a set. It is typically denoted by the phrase "for all." - In our statement, "Some real numbers are rational," the word "Some" suggests that there is at least one real number that is rational. This aligns with the definition of an existential quantifier. 4. **Conclusion**: Therefore, the quantifier in the statement is "Some," and its type is an **Existential Quantifier**. ### Final Answer: - Quantifier: Some - Type: Existential Quantifier
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