LetA, B,CandDbe the following sets:A={red, blue, green, purple}B={red, red, green}C={red,{green}, red,{red, green},{green, green, red}}D={blue, blue, blue, green, green, purple}Let the universal set forA, B,C, Dbe defined by:U={red, blue, purple, green}⋃P({red, blue, purple, green})Provide the answer to the following questions about the above sets. Justify your answers unless otherwisespecified.9(a) IsB⊆A? g