DFM: A = {all numbers greater than zero}

IDENTIFY:

Roster Method?

Set Builder Notation?

Given the set \( A \) defined as "all numbers greater than zero," we can express this set using both the roster method and set builder notation.

### Roster Method
The roster method lists out the elements of the set. Since the set includes all numbers greater than zero, and this set is infinite and cannot be listed exhaustively, we use a representation that indicates the nature of the set.

For the set \( A = \{ \text{all numbers greater than zero} \} \), the roster method representation can be written as:
\[ 
A = \{ 1, 2, 3, \ldots \} \quad \text{(if considering only positive integers)}
\]
or
\[ 
A = \{ 0.1, 1, 2, 3, \ldots \} \quad \text{(if considering all positive real numbers)}
\]

However

Explore set theory concepts through the example of the set A = {all numbers greater than zero}. Learn about the roster method and set builder notation with detailed explanations and examples. Suitable for anyone interested in foundational mathematics and set theory concepts.

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