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Let A = {1, 2, 3}, B = {4, 5, 6, 7}and l...

Let `A = {1, 2, 3}`, `B = {4, 5, 6, 7}`and let `f = {(1, 4), (2, 5), (3, 6)}`be a function from A to B. Show that f is one-one.

Text Solution

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Here `A={1, 2, 3}, B={4, 5, 6, 7}`
and `" " f= {(1, 4), (2, 5), (3, 6)}`
`rArr " " f(1) = 4, f(2)= 5, f(3) = 6`
`because ` In the function `f`, each element of A has different image.
`therefore f` is one-one.
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