QQuestionMathematics
QuestionMathematics
Use set-builder notation to write the following set:
{1, 2, 3, 4, 5, \ldots}
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Answer
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Step 1:I'll solve this problem using the specified LaTeX formatting guidelines:
Step 2:: Understand the Set
The given set represents the set of all positive integers starting from 1 and continuing infinitely. In set-builder notation, this can be expressed by describing the set's properties.
Step 3:: Write the Set in Set-Builder Notation
- $$x \geq 1$$ means x is greater than or equal to 1
The set can be written as: Where:
Step 4:: Verify the Notation
This notation precisely describes the set {1, 2, 3, 4, 5, ...} by: - Specifying the type of numbers (positive integers) - Indicating the starting point (1) - Implying the set continues infinitely
Final Answer
\{x \mid x \in \mathbb{Z}^{+}, x \geq 1\}
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