Let (A, B, C subset X). The symmetric difference of (A) and (B) is (A triangle B:=(A
Question:
Let \(A, B, C \subset X\). The symmetric difference of \(A\) and \(B\) is \(A \triangle B:=(A \backslash B) \cup(B \backslash A)\). Verify that
\[(A \cup B \cup C) \backslash(A \cap B \cap C)=(A \triangle B) \cup(B \triangle C)\]
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (6 reviews)
This follows easily from Observe first of all that ANC n BU B Anc nB ...View the full answer
Answered By
Amit Kumar
I am a student at IIT Kanpur , which is one of the prestigious colleges in INDIA.
Cleared JEE Advance in 2017.I am a flexible teacher because I understand that all students learn in different ways and at different paces. When teaching, I make sure that every student has a grasp of the subject before moving on.
I will help student to get the basic understanding clear. I believe friendly behavior with student can help both the student and the teacher.
I love science and my students do the same.
4.90+
44+ Reviews
166+ Question Solved
Related Book For
Question Posted:
Students also viewed these Business questions
-
Let X be any finite set with n elements and P(X) the family of subsets of X. Let F2 be the field of two elements. We define the following binary operations: + : P(X) P(X) P(X) - : F2 P(X) P(X),...
-
Consider the measurable space (W, A) and let A n A, n = 1, 2, then recall that And (i) Show that A n A n . (If also A n A n so that A n = n A n then this set is denoted by A n and is called the...
-
Let \((X, \mathscr{A}, \mu)\) be a \(\sigma\)-finite measure space and assume that \(\mathscr{A}\) is generated by a Boolean algebra \(\mathscr{G}\), i.e. a family of subsets of \(X\) which is stable...
-
Adam Hoover bought 72 shares of General Oil Co. stock at a par value of $85 per share. The stock paid annual dividends of 7 1/2%. How much did Adam receive in dividends this year? Commissions 0. Mrs....
-
A square silicon chip (k = 150 W/m. K) is of width w = 5 mm on a side and of thickness t = 1 mm. The chip is mounted in a substrate such that its side and back surfaces are insulated, while the front...
-
Because the dividend payments on preferred stock are not a tax-deductible expense, the explicit cost of this form of financing is high. What are some of the offsetting advantages to the issuing firm...
-
Suppose a 3 * 3 factorial experiment is conducted with three replications. Assume that SS1Total2 = 580. For each of the following scenarios, form an ANOVA table, conduct the appropriate tests, and...
-
Consider a sample comprised of firms that were targets of tender offers during the period 1978-1985. Conduct an analysis where the response variable represents the number of bids (Bids) received...
-
Lindsey Vaters weekly gross earnings for the week ended March 9 were $1,190, and her federal income tax withholding was $226.10. Assuming the social security tax rate is 6% and Medicare tax is 1.5%...
-
Show that the following sets have the same cardinality as \(\mathbb{N}:\{m \in \mathbb{N}: m\) is odd \(\}, \mathbb{N} \times \mathbb{Z}\), \(\mathbb{Q}^{m}(m \in \mathbb{N}), \bigcup_{m \in...
-
Consider the following variation of Cantor's set: fix \(r \in(0,1)\) and delete from \(I_{0}=[0,1]\) the open interval \(\left(\frac{1}{2}-\frac{1}{4} r, \frac{1}{2}+\frac{1}{4} ight)\). This defines...
-
Solve the given problems. A swimming pool is 50.0 ft wide, 78.0 ft long, 3.50 ft deep at one end, and 8.75 ft deep at the other end. How many cubic feet of water can it hold? (The slope on the bottom...
-
Admin Support Cereal Bars Square Foot 1,250 1,500 7,500 7,000 # of employees 14 11 42 59 # of machine batches 0 0 14 27 # of computers 17 21 35 30 Costs 32,000.32 21,740.21 The Support department...
-
Compare and contrast the differences between innovation and creativity. Does one lead to the other? If so, please explain. Why is innovation important? Who within the organization is responsible for...
-
Using the tables from Check your Consumer Surplus and Producer Surplus activities, find the equilibrium price and quantity in the market for cheese-stuffed jalapeno peppers. What is the total surplus...
-
We decided to use Gehan's two-stage design for this purpose. In the first stage, we will discard the new treatment if no patient out of n0 patients. Suppose the probability we can tolerate to discard...
-
Claude Haridge was involved in a demonstration. He threw a paint balloon at a bus and some of the paint flecks hits a nearby officer, so Haridge was transported to police cells. At the cells Special...
-
Refer to Data Set 4 in Appendix B. If the Ontario-Manitoba border is taken as the boundary between East and West, test the claim that in comparing provincial averages, there is no difference in mean...
-
A horizontal annulus with inside and outside diameters of 8 and 10 cm, respectively, contains liquid water. The inside and outside surfaces are maintained at 40 and 20oC, respectively. Calculate the...
-
In the current year, Wilson Enterprises, a calendar year taxpayer, suffers a casualty loss of $90,000. How much of the casualty loss will be deductible by Wilson under the following circumstances? a....
-
Benton Company (BC) has one owner, who is in the 33% Federal income tax bracket. BCs gross income is $395,000, and its ordinary trade or business deductions are $245,000. Compute the Federal income...
-
In the current year, Tanager Corporation (a C corporation) had operating income of $480,000 and operating expenses of $390,000. In addition, Tanager had a long-term capital gain of $55,000 and a...
-
Required : a- outline the statement of comperhensive income for the year ended 30 november 2021 b- outline the statment of financial position as at 30 November The Trial Balance of Alim Enterprise at...
-
International business and environment The MIR requires teams to gather current, or the most recently available, data on the markets people, economy, government, and technological status from online...
-
Consider the following stream of cash flows. The interest rate is 10%. 0 1 2 3 4 5 6 7 100 100 100 200 0 300 300 300 a) What is the value at time 0 of the cash flow stream? b) What is the value of...
Study smarter with the SolutionInn App