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
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.
Answered by Sneha shidid | 18 Sep, 2018, 12:15: PM
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