English

Let \(A=\{2,4,6,8\}\), and let \(R\) be the relation “is greater than.” Which is the correct set of ordered pairs for \(R\)?

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Question

Let \(A=\{2,4,6,8\}\), and let \(R\) be the relation “is greater than.” Which is the correct set of ordered pairs for \(R\)?

Options

  • \(\{(2,4),(2,6),(2,8),(4,6),(4,8),(6,8)\}\)

  • \(\{(6,8),(4,8),(2,8),(4,6),(2,6),(2,4)\}\)

  • \(\{(2,2),(4,4),(6,6),(8,8)\}\)

  • \(\{(8,6),(8,4),(8,2),(6,4),(6,2),(4,2)\}\)

MCQ
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Solution

The first coordinate must be greater than the second coordinate. Listing all such pairs gives \((8,6),(8,4),(8,2),(6,4),(6,2),(4,2)\).

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