Question

Let A, B, C be sets. Prove that (A \ B) \ C = (A \...

Let A, B, C be sets. Prove that
(A \ B) \ C = (A \ C) \ (B \ C).

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let A, B, C and D be sets. Prove that A \ B and C \...
Let A, B, C and D be sets. Prove that A \ B and C \ D are disjoint if and only if A ∩ C ⊆ B ∪ D.
Let A,B and C be sets, show(Prove) that (A-B)-C = (A-C)-(B-C).
Let A,B and C be sets, show(Prove) that (A-B)-C = (A-C)-(B-C).
Let A, B, C and D be sets. Prove that A\B ⊆ C \D if and...
Let A, B, C and D be sets. Prove that A\B ⊆ C \D if and only if A ⊆ B ∪C and A∩D ⊆ B
Let A and B be sets. Prove that A ⊆ B if and only if A...
Let A and B be sets. Prove that A ⊆ B if and only if A − B = ∅.
Let A and B be sets. Prove that (A∪B)\(A∩B) = (A\B)∪(B\A)
Let A and B be sets. Prove that (A∪B)\(A∩B) = (A\B)∪(B\A)
Prove that for all sets A, B, C, A ∩ (B ∩ C) = (A ∩...
Prove that for all sets A, B, C, A ∩ (B ∩ C) = (A ∩ B) ∩ C Prove that for all sets A, B, A \ (A \ B) = A ∩ B.
Let A, B, C be sets and let f : A → B and g :...
Let A, B, C be sets and let f : A → B and g : f (A) → C be one-to-one functions. Prove that their composition g ◦ f , defined by g ◦ f (x) = g(f (x)), is also one-to-one.
Problem 3.9. Let A and B be sets. Prove that A × ∅ = ∅ ×...
Problem 3.9. Let A and B be sets. Prove that A × ∅ = ∅ × B = ∅. Please write your answer as clearly as possible, appreciate it!
Let A,B,C be arbitrary sets. Prove or find a counterexample to each of the following statements:...
Let A,B,C be arbitrary sets. Prove or find a counterexample to each of the following statements: (a) (A\B)×(C \D) = (A×C)\(B×D) (b) A ⊆ B ⇔ A⊕B ⊆ B (c) A\(B∪C) = (A\B)∩(A\C) (d) A ⊆ (B∪C) ⇔ (A ⊆ B)∨(A ⊆ C) (e) A ⊆ (B∩C) ⇔ (A ⊆ B)∧(A ⊆ C)
Let A and B be nonempty sets. Prove that if f is an injection, then f(A...
Let A and B be nonempty sets. Prove that if f is an injection, then f(A − B) = f(A) − f(B)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT