## Given the relation R = {(6,4), (8,-1), (x,7), (-3,-6)}. Which of the following values for x will make relation R a function?

Question

Given the relation R = {(6,4), (8,-1), (x,7), (-3,-6)}. Which of the following values for x will make relation R a function?

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3 weeks 2021-10-04T02:06:34+00:00 1 Answer 0 views 0

1. ### SOLUTION

TO CHOOSE THE CORRECT OPTION

Given the relation R = {(6,4), (8,-1), (x,7), (-3,-6)}. Which of the following values for x will make relation R a function

(a) 8

(b) 6

(c) -3

(d) 1

CONCEPT TO BE IMPLEMENTED

FUNCTION

Let A and B are two non empty sets. A Mapping ( function ) f from A to B is a rule that assigns to each element x of A a definite element y in B

EVALUATION

Here the given relation

R = {(6,4), (8,-1), (x,7), (-3,-6)}

Take A = { 6 , 8 , x , – 3 }

B = { – 6 , – 1 , 4 , 7 }

In order to satisfy all requirement for R to be mapping is R will have to assign to each element x of A a definite element y in B

Since R has mapped 6 , 8 , – 3 already

So R can not map 6 , 8 , – 3 again

So R can not be any of 6 , 8 , – 3 The correct option is (d) 1

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1. . A relation R in the set of real numbers R defined as R = { (a,b): √a = b} is a

function or not. Justify

https://brainly.in/question/29064001

2. Let R be a relation on a collection of sets defined as follows,

R={(A,B)|A⊆B}

Then pick out the correct statement(s).

https://brainly.in/question/25406303