Prove or disprove: if A, B , and C are sets, then $A - ( B \cap C ) = ( A - B ) \cap ( A - C )$

Name: Prove or disprove: if A, B , and C are sets, then $A - ( B \cap C ) = ( A - B ) \cap ( A - C )$
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Question

Prove or disprove: if  A, B , and  C  are sets, then $A - ( B \cap C ) = ( A - B ) \cap ( A - C )$

Quizplus · Accepted Answer

The expression $A - ( B \cap C )$ simplifies to elements in A that are not in both B and C, while $( A - B ) \cap ( A - C )$ simplifies to elements in A that are not in B and not in C. These two sets are not necessarily equal.

Prove or Disprove: If A, B , and A−(B∩C)=(A−B)∩(A−C)A - ( B \cap C ) = ( A - B ) \cap ( A - C )A−(B∩C)=(A−B)∩(A−C)

Prove or Disprove: If A, B , and $A - ( B \cap C ) = ( A - B ) \cap ( A - C )$