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? ​

Answer 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

$\sf{ \therefore \: \: x = 1}$

FINAL ANSWER

The correct option is (d) 1

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