Question $16$Given:

$(1)\{\}$ is an equivalence relation as well as a partial order.

$(2)$ Let $R$ be the following relation on the set of real numbers: aRb if and only if

CEILING$($a$)=$ CEILING$($b$).$ Then, $R$ is a partial order.

Select one of the following choices:

a$.(1)$ and $(2)$ are True

b$.(1)$ is True and $(2)$ is False

c$.(1)$ and $(2)$ are False

d$.(1)$ is False and $(2)$ is True