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For real number x and y, define xRy iff x-y+{2} is an irration

Question

For real number $x$ and $y$ , define $x R y$ iff $x - y + 2$ is an irrational number. Then the relation $R$ is

reflexive

symmetric

transitive

none of these

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Daniel Discussed

For real number

x

and

y

, define

x R y

iff

x - y + 2

is an irrational number. Then the relation

R

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

Let there be a real number

r

then

r - r + 2 = 2

is an irrational number .

So, Every number of real set is related to itself in relation

R

Thus, Relation R is reflexive relation .

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Question Text	For real number $x$ and $y$ , define $x R y$ iff $x - y + 2$ is an irrational number. Then the relation $R$ is
Answer Type	Text solution:1
Upvotes	150