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Let A = {1, 2, 3, ... , 14}. Define a re...

Let `A = {1, 2, 3, ... , 14}`. Define a relation `R` from `A` to `A` by `R = {(x , y) : 3x - y = 0, " where " x , y in A}`. Write down its domain, co-domain and range.

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To solve the problem, we need to analyze the given relation \( R \) defined from set \( A \) to set \( A \) where \( A = \{1, 2, 3, \ldots, 14\} \) and \( R = \{(x, y) : 3x - y = 0\} \). ### Step-by-step Solution: 1. **Understanding the Relation**: The relation \( R \) is defined by the equation \( 3x - y = 0 \). This can be rearranged to express \( y \) in terms of \( x \): \[ y = 3x ...
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