Question: If A, B are two sets, prove that AUB=(A-B) U (B-A) U (An B). Hence or otherwise prove that n(AUB) = n(A) + n(B)

If A, B are two sets, prove that AUB=(A-B) U (B-A) U

If A, B are two sets, prove that AUB=(A-B) U (B-A) U (An B). Hence or otherwise prove that n(AUB) = n(A) + n(B) - n(AB) where, n(A) denotes the number of elements in A.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The detailed ... View full answer

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!

Letty is hired as a Sales Executive and her role is to sell items which are given to her in a bag. The bag contains n items where each item has an associated ID. Letty is inherently lazy and plans to...

The accompanying table can be used to make paired comparisons of the desirability of salary, deferred compensation, and pensions as a function of a = current and future employer marginal tax rates, b...

head([3]) 3 tail([3]) [ ] head([2, 0, 1]) 2 tail([2, 0, 1]) [0 , 1] mergesort([ ]) [ ] mergesort([1]) [1] mergesort([1, 0]) [0, 1] mergesort([4, 3, 2, 1, 0]) [0,1, 2, 3, 4] 1 . Prove that...

Write structures for the following bicyclic alkanes: (a) Bicyclo [1.1.0] butane (b) Bicyclo [2.1.0] pentane (c) 2-Chlorobicyclo [3.2.0] heptane (d) 7-Methylbicyclo [2.2.1] heptane

On 1 October 2005 Omega granted 50 employees options to purchase 500 shares in the entity. The options vest on 1 October 2007 for those employees who remain employed by the entity until that date....

Multiply or divide as indicated. 59.8 1000

How do you think Armstrong might score on a test of the big fi ve personality factors?

The ABC Partnership is to be liquidated and you have been hired to prepare a Schedule of Cash Payments for the partnership. Partners Andie, Becka, and Candice share income and losses in the ratio of...

If you had to choose only one of the following criteria for evaluating proposed investments you would most likely rely on the rule since it is considered the "best" in principle. Select an answer and...

One way to see whether this procedure will be successful is to split the original data set into two subsets: one subset for estimation and one subset for validation. A regression equation is...

4. Inflation and interest rates The following table shows the average nominal interest rates on sixmonth treasury bills between 2008 and 2012, which determined the nominal interest rate that the...

Which statement would be considered metacommunication? Question 8 options: "Please arrive at 9 a.m." "I appreciate your effort." "Free coffee is available in the lounge." "We encourage employees to...

M F M b h = A steel beam with a rectangular cross-sectional area has a height h 32 mm and breadth b = 16 mm. It has a through thickness crack of length a = 4 mm as shown in the figure. The fracture...

Determine the values of the variable for which the expression is defined as a real number. (Enter your answer using interval notation.) x-2x-35 Need Help? Read It 40. [-/1 Points] DETAILS SPRECALC7...

Provide 3 decimals for the final answer. Please show step by step solution. 6. Calculate the MA and output force of the brake pedal lever in the diagram. MASTER CYLINDER FULCRUM 3IN. Output Force = ?...

Support A is a pin. Support B is a roller. Each support can support a maximum of 9kN. Determine which support will fail first and at what value of w does this occur. HINT, create relationships of w...

Which animation is applied to the Realize shape on the last page of the My Events.pptx presentation? Group of answer choices Spin No animation is applied to the Realize shape Appear Fade

Economic feasibility is an important guideline in designing cost accounting systems. Do you agree? Explain.

The book was neither a novel nor an autobiography. Whether the statement is a simple statement or a compound statement. If it is a compound statement, indicate whether it is a negation, conjunction,...

Fill in the blank with an appropriate word, phrase, or symbol(s). The symbol sis used to indicate the standard deviation of a(n) ___________ .

The spacing of the frets on the neck of a classical guitar is determined from the equation d = (21.9)(2) (20 - x)/12 , where x = the fret number and d = the distance in centimeters of the x th fret...

Using the data in file statepop.dat, draw a histogram, using the weights, of the number of veterans. Howdoes this compare with a histogram that does not use the weights? The file statepop.dat...

The Rao-Hartley-Cochran (1962) method for selecting psus with unequal probabilities. To take a sample of size n, divide the population into n random groups of psus, U1, U2, . . . ,Un. Then select one...

Suppose you want to take a sample of students in a university but your sampling frame is a list of all classes offered by the university. A student may be in more than one class, so a probability...