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CBSE Class 12-science Answered

Check if the relation R on the set of reals defined as R={(x,y):x <=y2} is reflexive symmetric and transitive
Asked by lekhakarthikeyan | 17 Sep, 2018, 10:36: AM
answered-by-expert Expert Answer
R={(x,y):x ≤y2}
First we check it for reflexive 
then (a, a) where a ≤ a2 
Check for some values of x such as x = 1, 2, 1/2, 1/4 etc
Only for x = 1 and 2 its satisfies. 
Hence, the given relation is not reflexive.
 
Similarly you can check it for symmetric and transitive. 
The given relation is not reflexive, not symmetric and not transitive.
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