`a R b` if `|a|lt=b` is defined on the set of real numbers, find whether it is reflexive, symmetric or transitive.

Explanation

Consider` aRb `if `|a| \leq b`.
Let us check for this relation whether it is reflexive, transitive and symmetric.

Reflexivity:

Let a be an arbitrary element of `R`.

Then, `a \in R[` Since, `|a|=a] \Rightarrow|a|
Clearly, `R` is not reflexive.

Symmetry:

Let `(a, b) \in R \Rightarrow|a| \leq b \Rightarrow|b| \leq a` for all `a, b \in R`

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