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
Emery 1 week 2021-09-11T12:47:11+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-11T12:48:34+00:00

    Answer:

    yes

    Step-by-step explanation:

    in real numbers;

    rational, whole ,fractional,natural are comming under

    0
    2021-09-11T12:48:58+00:00

    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.

Leave an answer

Browse
Browse

18:9+8+9*3-7:3-1*13 = ? ( )