Question: Prove that A – (B U C) = (A – B) ∩ (A – C)
Answer: Let’s analyze step by step
A−(B∩C)
A∩(B∪C)c
A∩Bc∩Cc
A∩A∩Bc∩Cc
A∩Bc∩A∩Cc
(A∩Bc)∩(A∩Cc)
(A−B)∩(A−C)
Prove that A – (B U C) = (A – B) ∩ (A – C)
Tag: Prove that A – (B U C) = (A – B) ∩ (A – C)