Consider the relation R on $\{$w$,$x$,$y$,$z$\}$ where R $=\{($w$,$w$),($w$,$x$),($x$,$w$),($x$,$x$),($x$,$z$),($y$,$y$),($z$,$y$),($z$,$z$)\}.$ Determine if the relation is reflexive, symmetric, antisymmetric and$/$or reflexive:$$Please answer Y for yes or N for no; these are the only programmed responses, any other response will be marked as incorrect:$$Reflexive: $$Symmetric $$Antisymmetric: $$Transitive: $$