Question: Prove that for all sets Ai and B and n is element of Z, n greater than equal to 1, the following holds A.) U

Prove that for all sets Ai and B and n is element of Z, n greater than equal to 1, the following holds

A.) Uin (Ai\B) = (UinAi)\B

B.) Intersection in(Ai\B) = (IntersectioninAi)\B

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!

Q:

1. Prove that for all sets A; and B and n E Z, n > 1, the following holds: n n n (2) U(AB)=(UA.) \\ B; (b) i=1 i=1 i=1 i=1

Q:

Change issue 16 in portion 4.2 of your substance, including drawing markers from a compartment of markers with ink and markers without ink. Expect that the case contains 19 markers: 14 that contain...

Q:

where bc is the \"round down\" operator (that is, for example, b2.5c = 2, b 2.5c = 3, b 3c = 3). Find the probability mass function of Y . (Hint: For Y to take value k, what values should X take?) c)...

Q:

List the elements of the sets A and B defined as: A = {x Element Z | x^3 + 3x^2 - 10x = 0} Z: Set of all integers B = {x Element N | x^3 + 3x^2 - 10x =0} N: set of all positive integers. What...

Q:

1. If, in a one-tail hypothesis test, the p-value equals=0.8121, what is the statistical decision if the null hypothesis is tested at the 0.02 level of significance? What is the statistical decision?...

Q:

(1, 2, 3, 4. .. . 11) 4. How many one-to-one correspondences are there between two sets with a. 6 elements each? b. n elements each? Explain your reasoning. 5. How many one-to one correspondences are...

Q:

5. How many one-to-one correspondences are there between the sets ( x, y, z, u, v} and {1, 2, 3, 4, 5} if in each Correspondence 4. X must correspond to 5? b. x must correspond to 5 and y to 1? ". X,...

Q:

The Basics of Financial Mathematics Spring 2003 Richard F. Bass Department of Mathematics University of Connecticut c These notes are 2003 by Richard Bass. They may be used for personal use or class...

Q:

Show work/explanation where indicated. Answers without any work may earn little, if any, credit. You may type or write your work in your copy of the exam, or if you prefer, create a document...

Q:

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

Q:

ABC's stock trades at $70, next year's earnings are going to be $7, earnings are growing at 5%, and the required rate of return is 14%. The Present Value of Growth Opportunities (PVGO), equal to the...

Q:

A barrel of oil is currently valued at $54.00. Its ATMF is $54.50. Given the following available derivatives, form the requested synthetic positions. Specify the traded positions you will take for...

Q:

In the last 2 0 years, the mortgage lending industry has experienced Multiple Choice nearly complete obsolescence. limited consolidation. decentralization. rapid consolidation.

Q:

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...