1.

prove that c-(b-a) =(c intersection a) u(c intersection b')prove that C minus b minus A equal to C intersection b union c dash intersection b dash ​

Answer»

SOLUTION

TO PROVE

\sf{C - (B - A) =(C  \cap A) \cup (C  \cap B ') \: }

PROOF

\sf{C - (B - A) \: }

=  \sf{C - (B  \cap A ' ) \: }(by \: property \: of \: difference)

=  \sf{C  \cap (B  \cap A ' )' \: }(by \: property \: of \: difference)

=  \sf{C  \cap  \bigg(B ' \cup (A ' )'  \bigg)\: }(by \: de \: morgan's \: law)

=  \sf{C  \cap  (B ' \cup A  )\: }

=  \sf{(C  \cap  B ' )\cup (C \cap A  )\: } \: (by \: distributive \: property)

=  \sf{(C \cap A  ) \cup (C  \cap  B ' ) \: } \: (by \:commutative \: property)

Hence PROVED

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LEARN MORE FROM BRAINLY

If A is an empty set and B is set of VOWELS,

then A∩B is 

brainly.in/question/24041704



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