Question

9. Given R= {(x, y):X, YEN, 2x + 3y =9). Then number of elements in R =
(a) o
(b) 1
(c) 2
(d) more than 2​

Answer 1

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.

Answer 2

Answer:

answer 2 may be but not sure