Are the following sets of ordered pairs functions ? If so,examine whether the mapping is surjective or injective :
{(a,b): a is a person, b is an ancestor of a}

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Solution

It is not a function. Here the given set of ordered pairs is not a function since a person has many ancestors (e.g. father,mother,great grand father,great grand mother and so on).

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Are the following set of ordered pairs functions? If so examine whether the mapping is injective or surjective.
(ii){(a,b):a is a person, b is the ancestor of a}.

Q. Are the following sets of ordered pairs functions? If so, examine whether the mapping is surjective or injective:
(i) {(x, y) : x is a person, y is the mother of x}
(ii) {(a, b) : a is a person, b is an ancestor of a}

Q. Are the following set of ordered pairs functions? If so, examine whether the mapping is injective or surjective:

(i) {(x, y) : x is a person, y is the mother of x}
(ii) {(a, b) : a is a person, b is an ancestor of a} [NCERT EXEMPLAR]

Are the following set of ordered pairs functions? If so examine whether the mapping is injective or surjective.

(i) $f = {(x, y) : x is a person, y is the mother of x}$

(ii) $g = {(a, b) : a is a person, b is the ancestor of a}$

Are the following sets of ordered pairs functions? If so, examine whether the mapping is surjective or injective :

{(x, y): x is a person, y is the mother of x}

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Are the following sets of ordered pairs functions ? If so,examine whether the mapping is surjective or injective :{(a,b): a is a person, b is an ancestor of a}

It is not a function. Here the given set of ordered pairs is not a function since a person has many ancestors (e.g. father,mother,great grand father,great grand mother and so on).

Are the following sets of ordered pairs functions ? If so,examine whether the mapping is surjective or injective :
{(a,b): a is a person, b is an ancestor of a}