18. If R= {(x,y): x2 + y = 9, 2 € Z}, then the domain of Ris
Answers
Answered by
22
Step-by-step explanation:
ANSWER
Neither.
The relation R can be written as
R ={(1, 39), (2, 37), (3, 35), ........(10, 21).(11, 19), ..........(21, 1)}
∴ Domain of R = {1, 2, 3,..........19,20}
Range of R ={ 39, 37, 35,..........9, 7, 5, 3, 1}
For reflexive let's y=x so that 2x+x=41⇒ x=
3
41
but
R is not reflexive as x=
3
41
∈
/
N
R is not symmetric since ( 1, 39) ∈ R but ( 39, 1)∈
/
R.
R is not transitive because (20, 1) ∈ R and ( 1, 39) ∈ R but (20, 39) ∈
/
R.
Answered by
5
Answer:the above answer is correct
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