Question

Let R be a relation on the set N defined by R = {(x,y) ∈ N x N : 2x + y = 16}
i) Express R as a set of ordered pairs.
ii) Find domain and range of R.

(Answer properly and get your 100 points and Brainliest Mark)

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=341 but

R 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

Answer:

For reflexive lets y =x so that 2x+×=41=341

Step-by-step explanation:

R is not reflecive as x=341 belongs to /N

R is not symmetric since (1, 30) belongs to R but (39,1) not belongs to R but divide by N

and R is not transitive

This is the answer for the question

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