Find the Cardinality (-3,4)

Problem

|(−3,4)|

Solution

1. Identify the type of set given. The notation (−3,4) represents an open interval of real numbers on the number line.

2. Determine the nature of the elements. Any non-degenerate interval of real numbers (where the start point is less than the end point) contains an uncountably infinite number of points.

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

Final Answer

|(−3,4)|=c

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