M$/$C

Define the sets A$,$ B$,$ C$,$ D$,$ and E as follows:

A $=\{$x in R: x $<-2\}$

B $=\{$x in R: x $>2\}$

C $=\{$x in R: $|$x$|<2\}$

D $=\{$x in R: $|$x$|<=2\}$

E $=\{$x in R: x $<=-2\}$

Use the definitions for A$,$ B$,$ C$,$ D$,$ and E to answer the question.

Do the sets A$,$ B$,$ and D form a partition of R$?$ If not, which condition of a partition is not satisfied?