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Let A={3,5}a n d\ B={7, 11}dot Let R={(a...

Let `A={3,5}a n d\ B={7, 11}dot` Let `R={(a , b): a in A ,\ b in b ,\ a-b` is odd`}` . Show that `R` is an empty relation from A and B.

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Since none of the numbers 3-7, 3-11, 5-7, 5-11 is an odd number, therefore `R = phi`.
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AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Try Yourself
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  3. Let A={3,5}a n d\ B={7, 11}dot Let R={(a , b): a in A ,\ b in b ,\ a...

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  4. Let A = {3,5}, B = {7,1}. Let R = {(a,b): ainA, binB, a-b is even}. ...

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  5. Let f : R − { − 3, 5 } → R be a function defined as f ( x ) = (2x)/...

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  6. Let f : R → R be a function defined by f ( x ) = 2 x − 5 ∀ x ∈ R . ...

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