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Let X = {1,2,3,4,5} and Y = { 1,3,5,7,9}...

Let X = {1,2,3,4,5} and Y = { 1,3,5,7,9}.
(i) If `R_(1)` = { (x,y) : y =x+2, x `in` X ,y `in` Y} then `R_(1)` is a relation from X to Y because

A

`R_(1) supe(XxxY)`

B

`R_(1) sube (X xx Y)`

C

`R_(1) cancelsube ( X xx Y)`

D

None of these

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Let X = {1,2,3,4,5} and Y = { 1,3,5,7,9}. If R_(3) = { (1,3) ,(2,5), (2,4), (7,9) } then R_(3) is not a relation from X to Y because

    A
    (2,5) `cancel in (X xxY)`
    B
    (1,3) `cancel in (X xx Y)`
    C
    (2,4), (7,9) `cancel in (X xx Y)`
    D
    (1,3), (2,5) `cancel in (X xx Y )`

  • Let X = {1,2,3,4,5} and Y = { 1,3,5,7,9}. If R_(2) ={ (1,1), (1,3), (3,5), (3,7), (5,7) } then R_(2) is a relation from X to Y because

    A
    `R_(2) sube (X xx Y)`
    B
    `R_(2) sub (X xx Y )`
    C
    `R_(2) cancelsube (X xx Y)`
    D
    None of these

  • Let x = {1,2,3,4,5} and Y = {1,3,5,7,9}. Which of the following is /are relations from X to Y ?

    A
    `R_1 = {(x,y): y = 2+x,x in X , y in Y}`
    B
    `R_2={(1,1),(2,1),(3,,3),(4,3),(5,5)}`
    C
    `R_3 = {(1,1),(1,3),(3,5),(3,7),(5,7)}`
    D
    `R_4 = {(1,3),(2,5),(2,4),(7,9)}`

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