Question

The range of R = is{={2, 4, 5} ~{0, 2, 3, 4} ~{0, 2, 4, 5} ~{3, 4, 5}}

Answer 1

Answer:

relation R from the set A={2,3,4,5} to B={3,6,7,10} is defined as, (x,y)∈R⇒x is relatively prime to y.

Now, it is seen that 2 is relatively prime to 3, [HCF of 2 and 3 is 1]

So, (2,3)∈R

Similarly, 2 is relatively prime to 7 so that (2,7)∈R etc.

So, we get R={(2,3),(2,7),(3,7),(3,10),(4,3),(4,7),(5,3),(5,6),(5,7)}

Thus, domain ={2,3,4,5} and range ={3,6,7,10}.

Answer 2

Answer:

The correct option is A. {2, 4 , 5}

Step-by-step explanation:

From the above question,

The Range of R = {(0, 2), (2, 4), (3, 4), (4,5)} is

A. {2, 4 , 5}

B. {0, 2, 4, 5}

C. {3, 4, 5}

D. {0, 2, 3, 4}

EVALUATION

First we learn about cartesian product and relation

Let A and B are two sets. Then the Cartesian product of A and B is denoted by A × B and defined as

Let A and B are two non empty sets. Then a Relation R from A to B is a Subset of A × B

Here the given relation is

R = {(0, 2), (2, 4), (3, 4), (4,5)}

Then we have

Domain of R

= { x : (x, y) ∈ R }

= {0, 2, 3, 4}

Range of R

= { y : (x, y) ∈ R }

= {2, 4 , 5}

FINAL ANSWER

Hence the correct option is A. {2, 4 , 5}

For more related question : https://brainly.in/question/18021120

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