Find the Cardinality (0,0)

Problem

|(0,0)|

Solution

1. Identify the object inside the cardinality bars, which is the ordered pair (0,0)

2. Determine the nature of the object, noting that (0,0) is a single element (a point in a coordinate plane or an element of a Cartesian product).

3. Count the number of elements within the set notation provided. Since the expression refers to the cardinality of a single ordered pair treated as a set element, or the number of elements in the tuple itself.

4. Conclude that the cardinality of the set containing the single element (0,0) is 1.

Final Answer

|(0,0)|=1

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