Contruct an algebraic proof that for all sets A B and C Cite

Contruct an algebraic proof that for all sets A, B, and C. (Cite a property for every step).

Construct an algebraic proof that for all sets A, B, and C. (Cite a property for every step) (A - B) - C = A - (B union C)

Solution

let x be in (A - B) - C

then x is in (A - B) and x is not in C

so x is in A and x is not in B and x is not in C

since x is not in B and x is not in C, x is not in BUC

thus x is in A and x is not in BUC => x is in A - (BUC)

now you have x in (A - B) - C => x in A - (BUC)