Let R= {(x, y): x+3y = 0, x, y belong to N}. Is R a relation in N? Question Let R= {(x, y): x+3y = 0, x, y belong to N}. Is R a relation in N? in progress 0 Math Emery 1 week 2021-09-11T12:47:11+00:00 2021-09-11T12:47:11+00:00 2 Answers 0 views 0

## Answers ( )

Answer:yes

Step-by-step explanation:in real numbers;

rational, whole ,fractional,natural are comming under

Answer:i) 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. [3(3) − 1 ≠ 0]

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

[3(1) − 9 ≠ 0]

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