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Computing A × B with Specific Sets
publish date: 2026/05/23 22:20:48.725978 UTC
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Let \(A = \{1, 2, 3\}\) and \(B = \{2, 4\}\). Which of the following is \(A \times B\)?
Correct Answer
\(\{(1,2), (1,4), (2,2), (2,4), (3,2), (3,4)\}\)
Explanation
The product \(A \times B\) consists of all ordered pairs where the first element is from \(A\) and the second from \(B\). So \(A \times B = \{(1,2), (1,4), (2,2), (2,4), (3,2), (3,4)\}\). This set contains \(|A| \times |B| = 3 \times 2 = 6\) ordered pairs.
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012