Relations And Functions

  • Question
    CBSEENMA11013317

     Match the equivalent sets amongst sets (i), (ii), (iii), (iv) with sets (a), (b), (c), (d).

     (i) space space space space space left curly bracket space straight x colon space straight x element of space bold N bold comma bold space bold 4 bold space bold less or equal than bold 6 bold space bold x bold space bold less or equal than bold space bold 6 bold right curly bracket

    (ii)     { x : x is a vowel of English alphabet}

    (iii)     {x : xspace space element of N, x is a divisor of 6}

    (iv)     { x : xspace space space element of N, (x+1) (x-2) = 0}

    (a)       {q}   (b) {1, 2, 3}     (c)   {x :x is a prime number and x space space space space space space space straight x space less or equal than space 12}

    (d) space space space space space space space left curly bracket space straight x space colon space straight x space element of space bold N bold space and space straight x space less or equal than space 4 right curly bracket

    Solution

    Writing the sets in the tabular form, we have :
    (i)  {4, 5, 6}        (ii) {a, i, o, u}    (iii) {1, 2, 3, 6}       (iv)   {23}

    (a) = {q}
    (b) = {1, 2, 3}
    (c) = {2, 3, 5, 7, 11}
    (d) = {1, 2, 3, 4}
    from above, we have number of elements in (i) is the same as those in (b), similarly, others cna be matched
    Hence, (i) ~ b             (ii) ~ (c)             (iii) ~ (d)        (iv) ~ (a)

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