Sets

[Blackberry250]

A={1,2,3,4,5} B= {4,5,6,7,8} C={7,8,9,10,11}

Verify
A U (B∩C)=(AUB) ∩ (AUC)
A ∩ (BUC) = (A∩B) U (A∩C)
A ∩ (B-C) = (A∩B) - (AUC)

 

[Dr.Peterson]

A={1,2,3,4,5} B= {4,5,6,7,8} C={7,8,9,10,11}

Verify
A U (B∩C)=(AUB) ∩ (AUC)
A ∩ (BUC) = (A∩B) U (A∩C)
A ∩ (B-C) = (A∩B) - (AUC)

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Have you written out what B∩C, AUB, and AUC are, for a start?

 

[Deleted member 4993]

A={1,2,3,4,5} B= {4,5,6,7,8} C={7,8,9,10,11}

Verify
A U (B∩C)=(AUB) ∩ (AUC)
A ∩ (BUC) = (A∩B) U (A∩C)
A ∩ (B-C) = (A∩B) - (AUC)

Can you describe (A ∩ B) and (A ∩ C)?