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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. - Mathematics

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प्रश्न

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.

योग
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उत्तर

It is given that A = {1, 2, 3}, B = {4, 5, 6, 7}.

f : A → B is defined as f = {(1, 4), (2, 5), (3, 6)}.

∴ f(1) = 4, f(2) = 5 and f(3) = 6

It is seen that the images of distinct elements of A under f are distinct.

Hence, function f is a one-one.

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अध्याय 1: Relations and Functions - Exercise 1.2 [पृष्ठ ११]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 1 Relations and Functions
Exercise 1.2 | Q 6 | पृष्ठ ११

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