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Identify the quantifier in the following...

Identify the quantifier in the following statement,
For every real number x, x is less than `x + 1`

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To solve the question, we need to identify the quantifier in the given statement: "For every real number x, x is less than x + 1." ### Step-by-Step Solution: 1. **Understanding the Statement**: The statement asserts a relationship involving all real numbers. It can be broken down into two parts: the quantifier and the proposition. 2. **Identifying the Quantifier**: A quantifier is a word or phrase that indicates the quantity of subjects being referred to in a statement. Common quantifiers include "for all," "for every," "there exists," etc. 3. **Analyzing the Given Statement**: In the statement "For every real number x, x is less than x + 1," we look for the phrase that indicates the scope of the statement. 4. **Finding the Phrase**: The phrase "For every" is present at the beginning of the statement. This phrase indicates that the proposition that follows applies to all real numbers without exception. 5. **Conclusion**: Therefore, the quantifier in the given statement is "for every." ### Final Answer: The quantifier in the statement is "for every." ---
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