For all set s A,Band C, An(B-c)C(AnB)-(Anc) Proof: het A, B and C sets. Let xE An(B-c) be any XE A and xe (B-c) by definition of intersection X E A and (aE Band x¢ c) by defntin of Set difference ....

Can you please check my prove and please let me know if I did it correctly. Thank you! One more question , is x is not in (A and B ) by definition of set different or set of intersection? Directions for the problem: use element argument to prove number 11. Assume that all sets are subset of a universal of U.

Extracted text: For all set s A,Band C, An(B-c)C(AnB)-(Anc) Proof: het A, B and C sets. Let xE An(B-c) be any XE A and xe (B-c) by definition of intersection X E A and (aE Band x¢ c) by defntin of Set difference . Thus *E(A n B) biy definitioni of intersecton and in additim X € (A nc) by defimtion of set differen ce, Theretore X € (AnB) - (Anc) by definitun of Set difference . Hence, A n (B-C) E (ANB) - (Anc) by definition of sub sets.