Question

r is the relation in the service N of natural number R={x, y}:y=3x-7, and x<5}thr number of ordered pair of the relation​

Answer 1

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

Explanation:

I hope this will helps u

thank for giving me an opportunity to ans.for this question.

I am.in 8th and I will help u all in my ability

thank u

Answer 2

Answer:

A={1,2,3,....13,14}

R={(x,y):3x−y=0}

∴R={(1,3),(2,6),(3,9),(4,12)}

R is not reflexive since (1,1),(2,2)......(14,14)∈

/

R

Also, R is not symmetric as (1,3)∈R, but (3,1)∈

/

R.

Also, R is not transitive as (1,3),(3,9)∈R, but (1,9)∈

/

R.

Hence, R is neither reflexive, nor symmetric, nor transitive.