Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. let f: x→y be a map with a1, a2⊂x and

Let f: X→Y be a map with A1, A2⊂X and B1,B2⊂Y (A) Prove f(A1∪A2)=f(A1)∪f(A2). (B) Prove f(A1∩A2)⊂f(A1)∩f(A2). Give an example in...

60.1K

Verified Solution

Question

Advance Math

Let f: X→Y be a map with A1, A2⊂X andB1,B2⊂Y

(A) Provef(A1∪A2)=f(A1)∪f(A2).

(B) Provef(A1∩A2)⊂f(A1)∩f(A2).Give an example in which equality fails.

(C) Provef−1(B1∪B2)=f−1(B1)∪f−1(B2),where f−1(B)={x∈X: f(x)∈B}.

(D) Provef−1(B1∩B2)=f−1(B1)∩f−1(B2).

(E) Provef−1(Y∖B1)=X∖f−1(B1).

(Abstract Algebra)

Answer & Explanation Solved by verified expert
4.0 Ratings (657 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

sickle cell distribution compared to malaria distribution

Biology
Q

A 18.6 mL solution of 0.100 mol L-1 NaOH is titrated using 0.150 mol L-1 HCl....

Chemistry
Q

Use DeMoivre s Theorem to find the indicated power Write the answer in rectangular form...

Calculus
Q

The area A of the region S that lies under the graph of the continuous...

Calculus
Q

If a varies jointly as b and c and a 27 when b 18 and...

Calculus
Q

Use Euler s method with step size 0 25 to compute the approximate y values...

Calculus
Q

Use the following information to answer questions 9-11: Falconi...

Accounting
Q

Exercise 4-11B How fixed cost allocation affects a pricing decision Monarch Manufacturing Company...

Accounting
Q

Department income totals $500,000, investment in the department is $4,500,000, and the company's cost of...

Accounting
Q

One of the most common reasons for resource depletion is Multiple Choice 1. inaccurate accounting...

Accounting
Q

On July 1, 20X0, FEDWHY sold a truck for $10,000. The company originally paid $28,000...

Accounting
Q

The Calcasieu Perish Shemiffs office collected 570 million in property taxes. This 570 million is...

Accounting