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Given A={2,3,4},B={2,5,6,7} , construct an example of each of the following:

(a) An injective mapping from A to B

(b) A mapping from A to B which is not injective

(c) A mapping from B to A .

0 3 Views | Posted 3 months ago
Asked by Shiksha User

  • 1 Answer

  • A

    Answered by

    alok kumar singh | Contributor-Level 10

    3 months ago

    This is a Long Answer Type Question as classified in NCERT Exemplar

    Sol:

        Here,     A  =  {2,  3,  4}        and     B={2,  5,  6,  7}  (i)    Let  f :  A  →  B  be  the  mapping  from  A  to  B           f  =  {(x,  y)  :  y  =  x  +  3}           ∴  f  =  {(2,  5),  (3,  6),  (4,  7)}  which  is  an  injective  mapping.  (ii)    Let  g :  A  →  B  be  the  mapping  from  A  →  B  such  that           ∴  g  =  {(2,  5),  (3,  5),  (4,  2)}  which  is  not  an  injective  mapping.    (iii)  Let  h :  B  →  A  be  the  mapping  from  B  to  A              h  =  {(y,  x)  :  x  =y−2}           ∴  h  =  {(5,  3),  (6,  4),  (7,  3)}  which  is  the  mapping  from  B  to  A.

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