Show that the relation R in the set R of real numbers, defined as R={(

1.	Show that the relation R in the set R of real numbers, defined as R={(a,b):a≤b2} is neither reflexive nor symmetric nor transitive. Here, the result is disproved using some speicific examples. In order to prove a result. we must prove it in generlity and in order to disprove a result we can just provide one example. where the condition is false. It is important to pick up the examles suitably. Since there are certain ordered pairs like (1,1) for which the relation is reflexive.
Answer» Show that the relation R in the set R of real numbers, defined as $R = {(a, b) : a \leq b^{2}}$ is neither reflexive nor symmetric nor transitive. Here, the result is disproved using some speicific examples. In order to prove a result. we must prove it in generlity and in order to disprove a result we can just provide one example. where the condition is false. It is important to pick up the examles suitably. Since there are certain ordered pairs like (1,1) for which the relation is reflexive.

Show that the relation R in the set R of real numbers, defined as R={(a,b):a≤b2} is neither reflexive nor symmetric nor transitive. Here, the result is disproved using some speicific examples. In order to prove a result. we must prove it in generlity and in order to disprove a result we can just provide one example. where the condition is false. It is important to pick up the examles suitably. Since there are certain ordered pairs like (1,1) for which the relation is reflexive.

Answer»

Show that the relation R in the set R of real numbers, defined as $R = {(a, b) : a \leq b^{2}}$ is neither reflexive nor symmetric nor transitive.

Here, the result is disproved using some speicific examples. In order to prove a result. we must prove it in generlity and in order to disprove a result we can just provide one example. where the condition is false. It is important to pick up the examles suitably. Since there are certain ordered pairs like (1,1) for which the relation is reflexive.

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