Find the Cardinality (-2,3)

Problem

|(−2,3)|

Solution

1. Identify the type of set given. The notation (−2,3) represents an open interval on the real number line ℝ

2. Determine the nature of the elements. Any non-empty interval of real numbers contains an uncountably infinite number of points.

3. Recall the definition of cardinality for intervals. The cardinality of any interval (a,b) where a<b is equal to the cardinality of the set of all real numbers, denoted by c (continuum) or 2

Final Answer

|(−2,3)|=c

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