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Introduction to Relation

A relation is...

Question

A relation is a collection of ordered pairs $(x, y)$ .

A

True

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B

False

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Solution

The correct option is A True

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Q. Range is the collection of the second elements of all the ordered pairs in a relation.

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.

Q. A = {1, 2, 3, 4, 5, 6, 7, 8} and if R = {(x, y) : y is one half of x; x, y ∈ A} is a relation on A, then write R as a set of ordered pairs.

R

R = {(x, y) : x < y}

. Which among the following options is an ordered pair of

R

A = {2, 3, 4, 6}

R = {(x, y) : y = x^{2} - x; x, y \in A}

is a relation on

A

R

as set of ordered pairs ?

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