A) \[{{R}_{1}}=\{(x,\,y)|y=2+x,\,x\in X,\,y\in Y\}\]
B) \[{{R}_{2}}=\{(1,\,1),\,(2,\,1),\,(3,\,3),\,(4,\,3),\,(5,\,5)\}\]
C) \[{{R}_{3}}=\{(1,\,1),\,(1,\,3)(3,\,5),\,(3,\,7),\,(5,\,7)\}\]
D) \[{{R}_{4}}=\{(1,\,3),\,(2,\,5),\,(2,\,4),\,(7,\,9)\}\]
Correct Answer: B
Solution :
\[{{R}_{4}}\] is not a relation from X to Y, because (7, 9) \[\in {{R}_{4}}\] but (7, 9) \[\notin X\times Y\].
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