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IF a SET A=(1,2,3,4) and the relation is R={(2,2),(3,3),(4,4),(1,2)} ....so what is relation? transitive or reflexive or symmertic? ans is reflexive.

IF a SET A=(1,2,3,4) and the relation is R={(2,2),(3,3),(4,4),(1,2)} ....so what is relation? transitive or reflexive or symmertic?


ans is reflexive.

Grade:12th Pass

2 Answers

shelley dubey
29 Points
11 years ago

sorry by mistaken... ans is transitive. but plz further xplain it.

Neer Varshney
76 Points
11 years ago

for every x € A there is (x,x) does not belong to R (as 1,1 is not there) 

so not reflexive.

for every x,y € R there is y,x € R. 

so not symmetric as 1,2  € R but 2,1 does not € R

for every x,y € R and y,z € R there is x,z € R which is true

THerefore it is transitive as 1,2 € R 2,2 €R therefore 1,2 € R

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