Prove the following statement using an element argument and reasoning directly from the
deﬁnitions of union, intersection, set diﬀerence. $\text { For all sets } A , B \text {, and } C , ( A \cup B ) \cap C \subseteq A \cup ( B \cap C ) \text {. }$

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The Answer of Prove the following statement using an element argument and reasoning directly from the
deﬁnitions of union, intersection, set diﬀerence. $\text { For all sets } A , B \text {, and } C , ( A \cup B ) \cap C \subseteq A \cup ( B \cap C ) \text {. }$

Prove the Following Statement Using an Element Argument and Reasoning For all sets A,B, and C,(A∪B)∩C⊆A∪(B∩C). \text { For all sets } A , B \text {, and } C , ( A \cup B ) \cap C \subseteq A \cup ( B \cap C ) \text {. } For all sets A,B, and C,(A∪B)∩C⊆A∪(B∩C).

Prove the Following Statement Using an Element Argument and Reasoning $\text { For all sets } A , B \text {, and } C , ( A \cup B ) \cap C \subseteq A \cup ( B \cap C ) \text {. }$