Let A = {1, 2, 3, … , 14}. Define a relation R from A to A by R = {(x, y): 3x – y = 0, where x, y ∈ A}. Write down its domain, codomain and

Question

Let A = {1, 2, 3, … , 14}. Define a relation R from A to A by R = {(x, y): 3x – y = 0, where x, y ∈ A}. Write down its domain, codomain and range.​

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Alexandra 1 month 2021-09-16T14:45:52+00:00 2 Answers 0 views 0

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    0
    2021-09-16T14:47:06+00:00

    \huge\underline\mathfrak\pink{♡Answer♡}

    ➡️The relation R from A to A is given as:

    ➡️R = {(x, y): 3x – y = 0, where x, y ∈ A}

    ➡️= {(x, y): 3x = y, where x, y ∈ A}

    ➡️So,

    ➡️R = {(1, 3), (2, 6), (3, 9), (4, 12)}

    ➡️Now,

    ➡️The domain of R is the set of all first elements of the ordered pairs in the relation.

    ➡️Hence, Domain of R = {1, 2, 3, 4}

    ➡️The whole set A is the codomain of the relation R.

    ➡️Hence, Codomain of R = A = {1, 2, 3, …, 14}

    ➡️The range of R is the set of all second elements of the ordered pairs in the relation.

    ➡️Hence, Range of R = {3, 6, 9, 12}

    0
    2021-09-16T14:47:08+00:00

    \huge\underline{\overline{\mid{\bold{\red{ANSWER-}}\mid}}}

    The relation R from A to A is given as

    R = {(x, y): 3x – y = 0, where x, y ∈ A}

    i.e., R = {(x, y): 3x = y, where x, y ∈ A}

    ∴R = {(1, 3), (2, 6), (3, 9), (4, 12)}

    The domain of R is the set of all first elements of the ordered pairs in the relation.

    ∴Domain of R = {1, 2, 3, 4}

    The whole set A is the codomainof the relation R.

    ∴Codomain of R = A = {1, 2, 3, …, 14}

    The range of R is the set of all second elements of the ordered pairs in the relation.

    ∴Range of R = {3, 6, 9, 12}

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