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Prove or give a counter-example: (a) if R ⊂ S and T ⊂ U then T\...

Prove or give a counter-example:

(a) if R ⊂ S and T ⊂ U then T\ S ⊂ U \R.

(b) if R∪S⊂T∪U, R∩S= Ø and T⊂ R, then S ⊂ U.

(c) if R ∩ S⊂T ∩ S then R⊂T.

(d) R\ (S\T)=(R\S) \ T

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