Z plus (Z+) in mathematics represents the set of all positive integers.
Understanding Z+
In the context of number sets, Z+ is a specific subset of integers. Let's break it down:
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Integers (Z): The set of integers includes all whole numbers, both positive and negative, and zero (..., -3, -2, -1, 0, 1, 2, 3,...).
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Positive Integers (Z+): This set comprises all integers greater than zero. As the provided reference states, these are the numbers 1, 2, 3, and so on.
Z+ in contrast to other related sets:
It's helpful to contrast Z+ with other related integer sets:
Set | Description | Numbers Included |
---|---|---|
Z+ | Positive Integers | 1, 2, 3, 4, 5,... |
Z- | Negative Integers | ..., -5, -4, -3, -2, -1 |
Znonneg | Non-negative integers (positive integers and 0) | 0, 1, 2, 3,... |
Znonpos | Non-positive integers (negative integers and 0) | ..., -3, -2, -1, 0 |
Key Takeaways:
- Z+ always refers to the set of positive whole numbers.
- Zero is not included in the set of positive integers (Z+).
- Z+ is a fundamental set used in various areas of mathematics.