prove-A-B-C-A-B-C-

Question Number 145459 by syamilkamil1 last updated on 05/Jul/21

p r o v e (A - B) - C = A - (B \cup C)

Answered by liberty last updated on 05/Jul/21

A - B = A \cap B^{c}

\Rightarrow (A - B) - C = (A \cap B^{c}) \cap C^{c}

= A \cap (B^{c} \cap C^{c})

= A \cap {(B \cup C)}^{c}

= A - (B \cup C)

Commented by syamilkamil1 last updated on 07/Jul/21

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