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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 relation \( R \) defined from the set \( A \) to itself. The relation is given by the equation \( 3x - y = 0 \), which can be rearranged to \( y = 3x \). ### Step 1: Identify the set \( A \) The set \( A \) is defined as: \[ A = \{1, 2, 3, \ldots, 14\} \] ### Step 2: Define the relation \( R \) The relation \( R \) consists of pairs \( (x, y) \) such that: ...
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