Write the definition of A x B, where A and B are sets A x B = { }.
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![### Definition of Cartesian Product of Sets
Given two sets, \( A \) and \( B \), the Cartesian product \( A \times B \) is defined as the set of all ordered pairs \( (a, b) \) where \( a \) is an element of \( A \) and \( b \) is an element of \( B \). It is mathematically expressed as:
\[ A \times B = \{ (a, b) \mid a \in A, b \in B \} \]
This concept is fundamental in set theory and provides a structured way to pair elements from two distinct sets.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3d40ab3-26fa-4cc6-a20f-30a7f32ffb5d%2F7cc1a70a-039b-47fb-9353-fef5f091be78%2Fwrysiwr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Definition of Cartesian Product of Sets
Given two sets, \( A \) and \( B \), the Cartesian product \( A \times B \) is defined as the set of all ordered pairs \( (a, b) \) where \( a \) is an element of \( A \) and \( b \) is an element of \( B \). It is mathematically expressed as:
\[ A \times B = \{ (a, b) \mid a \in A, b \in B \} \]
This concept is fundamental in set theory and provides a structured way to pair elements from two distinct sets.
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