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Identify the quantifier in the following...

Identify the quantifier in the following and state its type `:`
Any integer is either positive or negative .

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To solve the problem, we need to identify the quantifier in the statement "Any integer is either positive or negative" and determine its type. ### Step-by-Step Solution: 1. **Understanding the Statement**: The statement claims something about integers, specifically that every integer falls into one of two categories: positive or negative. 2. **Identifying the Quantifier**: In the statement, the word "Any" is used. This word is crucial as it indicates a condition that applies to all integers without exception. 3. **Determining the Type of Quantifier**: There are two main types of quantifiers: - **Universal Quantifier**: This is used when a statement applies to all elements in a particular set. It is often denoted by the phrase "for all" or "for every". - **Existential Quantifier**: This is used when a statement asserts that there is at least one element in a set that satisfies a certain condition. It is often denoted by the phrase "there exists". Since "Any" implies that the statement is true for every integer, it indicates a universal quantifier. 4. **Conclusion**: The quantifier in the statement "Any integer is either positive or negative" is "Any", and it is a **universal quantifier**. ### Final Answer: The quantifier is "Any" and its type is **universal quantifier**. ---
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