Question

Find the domain and range of the relation R={(a,b):a is a multiple of b and a, b belongs to {1,2,3,4,5,6,7}

Answer 1

answer in the picture

Answer 2

Concept

A multiple is the product of any quantity and an integer. In other words, for quantities a and b, we can say that b is a multiple of a if b = na for some integer n, which is called the multiplier.

The domain of a function is the set of values that we can plug into our function. This set is the values of x in a function such as f(x). The range of a function is the set of values that the function takes. This set is the values that the function fires after we plug in the value of x.

Given

It is given that R={(a,b):a is a multiple of b and a, b belongs to {1,2,3,4,5,6,7}

Find

We need to find the domain and range of the relation

Solution

R={(a,b):a is a multiple of b} and a, b belongs to {1,2,3,4,5,6,7}

R={(1,1), (2,1), (3,1), (4,1), (5,1), (6,1), (7,1), (2,2), (4,2), (6,2), (3,3),(6,3),(4,4),(5,5),(6,6),(7,7)}

Domain={1,2,3,4,5,6,7}

Range={1,2,3,4,5,6,7}

Hence the the domain and range of the relation

Hence the the domain and range of the relationis obtained

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