Question: need help please ... state theorems used 3. (10 marks) Let f be a 1-1 function and let A, B be sets. Prove that f

need help please ... state theorems used

3. (10 marks) Let f be a 1-1 function and let A, B be sets. Prove that f [A - B] = f[A] - f[B]. Is this still true if f is not 1-1? (Yes or no is fine for this part)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Answer all questions. Show all steps in the solution clearly. Please use clear handwritten. Course: Discrete Mathematics Question 1 (15 marks) i. Explain the relationship of domino effect with the...

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

(i) Write down the linear program relaxation for the vertex cover problem and solve the linear program. [6 marks] (ii) Based on the solution of the linear program in (b)(i), derive an integer...

Note: All ML code must be explained clearly (INJAVAXX)and should be free of needless complexity. 2 CST.2016.1.3 2 Foundations of Computer Science Please help. (2c) (a) A prime number sieve is an...

Consider implementing the natural logarithm function ln(t) for floating-point numbers using the McLaurin series: ln (i) List all special behaviours the natural logarithm function should have in...

MATH 107 QUIZ 2 NAME: _______________________________ June, 2017 Instructor: S. Sands I have completed this assignment myself, working independently and not consulting anyone except the instructor....

MATH 107 QUIZ 2 NAME: _______________________________ September, 2016 Instructor: S. Sands I have completed this assignment myself, working independently and not consulting anyone except the...

MATH 115 MIDTERM EXAM NAME: _______________________________ November, 2016 Instructor: S. Sands I have completed this assignment myself, working independently and not consulting anyone except the...

Please I need the design in c++ The VS100 - a low-cost civilian model - expects a 6-digit code. After all six digits have been entered, it will either open or will signal that the code was wrong and...

Mable lives with her 14 year old Daughter, Jojo. Mable earned $74,600 as an administrator for a Dance Studio. She can contribute to a 401(k) at work, but also decided to contribute $6,000 to a...

A recent report states that Canadians received an average tax return refund of $1600 last year with a standard deviation of $715. With recent tax changes implemented over the past year, you believe...

The use of debt with high interest charges may cause the net profit margin to be low. Select one: a . True b . False

2023 1040 form 1.Phillip and Claire are married and file a joint return. Phillip is self-employed as a real estate agent, and Claire is a flight attendant. Phillip and Claire have three dependent...