Question

For sets A,B and C , using properties of sets, prove that: (1) A- (B union C) = ( A-B) intersection (A-C)

Answer 1

Step-by-step explanation:

Solution

SolutionWe know,

SolutionWe know,A-(BUC) = An (BUC)'

SolutionWe know,A-(BUC) = An (BUC)'[: X - Y = XnY']

SolutionWe know,A-(BUC) = An (BUC)'[: X - Y = XnY']= An (B'nc) [ (BUC) = B'nc]

SolutionWe know,A-(BUC) = An (BUC)'[: X - Y = XnY']= An (B'nc) [ (BUC) = B'nc]= (An B')n (ANC)

SolutionWe know,A-(BUC) = An (BUC)'[: X - Y = XnY']= An (B'nc) [ (BUC) = B'nc]= (An B')n (ANC)= (A - B) n (A - C)

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