What is the set of all first elements of the ordered pairs in a relation R from a set A to a set B called ?

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Solution

The set of all first elements of the ordered pairs in a relation R from a set A to a set B is called the domain of the relation R.

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Q. A relation R is defined from a set A = [2, 3, 4, 5] to a set B = [3, 6, 7, 10] as follows:
(x, y) ∈ R ⇔ x is relatively prime to y
Express R as a set of ordered pairs and determine its domain and range.

A relation R is defined from a set A = {2, 3, 4, 5} to a set B = {3, 6, 7, 10} as follows : ${x, y} ϵ R \Leftrightarrow x$ is relatively prime to y. Express R as a set of ordered pairs and determine its domain and range.

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Q. The relation from one set to other is defined as the collection of ordered pair, in which each ordered pair consists relating elements of both sets.

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{1, 2, 3,}

defined by

x = 2 y .

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