Question

A={1,2,3,4} B={ 3,4,5,6} and C={1,3,5} prove with A-(B union C)=(A-B)union(A-C)

Answer 1

Answer:

A= {1,2,3,4}

B= {3,4,5,6}

C= {1,3,5}

A-(B ∪ C)

= {1,2,3,4} - {1,3,4,5,6}

= {2}

Again,

(A-B) ∪ (A-C)

= {1,2} ∪ {2,4}

={1,2,4}

so, A-(B∪C) is not equal to (A-B)∪(A-C)

I think the question will be

prove that ,

A-(B∪C)= (A-B)∩(A-C)