Question

Let R be a relation on natural number defined by x + 4y = 20. Then find the value of domain and range of R.​

Answer 1

Step-by-step explanation:

Neither.

Neither.The relation R can be written as 

Neither.The relation R can be written as R ={(1, 39), (2, 37), (3, 35), ........(10, 21).(11, 19), ..........(21, 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}

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}

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=341 but

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=341 butR is not reflexive as x=341∈/N   

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=341 butR is not reflexive as x=341∈/N   R is not symmetric since ( 1, 39) ∈ R but ( 39, 1)∈/ R.

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=341 butR is not reflexive as x=341∈/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

x+4y=20

×=4y-20

x=16y

16yx