Question

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

function or not. Justify​

Answer 1

SOLUTION

TO JUSTIFY

A relation R in the set of real numbers R defined as R = { (a,b): √a = b} is a function or not

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

Clearly √a is not defined when a is negative real number

For example √-1 is a imaginary number. So √-1 is not an element on Set of Real numbers R

Hence it is not defined for every real values

Hence R is not a function

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If A and B are two sets then A-B =B-A if

https://brainly.in/question/28848928

2. consider the above set A. Insert the appropriate symbol E of E/ in each of the following blank spaces (a) -3...A (b) 9.. A

https://brainly.in/question/28046206