4.. (a) Which of the following relations are functions? Give reason.
(0) R = {(1,1), (2,2), (3,3), (4,4), (4,5)}
(ii) R = {(2,1), (2,2), (2,3), (2,4)}
b)tt P = {r:r<3. reN).Q-percre w). Find (PU Q - (
PQ), where
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i) The first element are 2,3,4
All these are not repeating. hence,they have unique images. so,this relation is a function.
ii) The first elemrnts are 2,2,3 and 4
Here 2 is coming twice, i.e. It is a repeating
Hence,this relation is not a function.
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