Problem

Let \(A = \{1, 2\}\) and \(B = \{3, 4\}\). Find the Cartesian product of these two sets (\(A \times B\)).

Solution

Step 1 :The Cartesian product of two sets \(A\) and \(B\), denoted by \(A \times B\), is the set of all ordered pairs \((a, b)\) such that \(a\) is in \(A\) and \(b\) is in \(B\).

Step 2 :So, for \(A = \{1, 2\}\) and \(B = \{3, 4\}\), we have to find all possible ordered pairs \((a, b)\), where \(a\) is an element from \(A\) and \(b\) is an element from \(B\).

Step 3 :We can write these ordered pairs as follows: \((1, 3), (1, 4), (2, 3), (2, 4)\).

From Solvely APP
Source: https://solvelyapp.com/problems/bKhSzYUfKF/

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