Prove that A N (BU C) = (A N B) U (A N C) by giving a Venn diagram proof. Label your diagram(s) carefully.

Q: state explicity which ordered pairs are in A x B and which are in R?

A: The ordered pairs (x,y) such that x∈A, y∈B are in AxB. i.e.  AxB={(x,y) | x∈A, y∈B}

Q: Jennifer is proving the Pythagorean theorem. According to the proof writing guidelines, Jennifer…

A: Given,    We need to state whether the statement is true or false.

Q: 2. Suppose A, B, and C are sets. Prove that (AUB) \C CAU (B \ C).

A: Introduction: We know that the difference property of two sets A and B as A/B=A∩B'.

Q: Does {(1,2), (–2, –4), (3, 6)} span R??

A:

Q: Decide whether the limit exists. If it exists, find its value. Find lim f(x) and lim f(x). 63- +

A:

Q: et A, B, C and D be sets. Prove that (AnB)u(CnD)=(AUC) n(BUC) n(AUD)n(BUD)

A: The set A∪B contains all the elements that are present either in set A or in set B. The set A∩B…

Q: Suppose that A= {a,b,c,d} Then |A| =.?

A: Let X be a set , then X be number of elements in set X

Q: Name the coordinates of the preimage of Z. E T. Z. B K Your answer: O(0, 2) о (2,0) O(-4, 7) (7, -…

A: Option C is correct..

Q: 6. For A, B, subscts of R, define A+B= {a+b:a€ A, bE B} and A B= (ab:a € A,bE B} (a) For A=…

A:

Q: III. Do as indicated. 1. Use Venn diagrams to exhibit A – (BnC) = (A – B) U (A – C). %3D |

A: The set A∪B means all the elements that are in set A or in set B The set A∩B means all the elements…

Q: a. Let U = { a, b, c, d, e, f, g} X= {a, c, e, g} , Y = { a, b, c }, and Z = {b, c , d, e, f} a1.…

A:

Q: e. Which

A: From given figure it is clear that

Q: Refer to B={ ={₁0, -6, 0.23, 3, -1.7, √7}. Determine which elements belong to the given set.…

A:

Q: What is t

A: Note: After seeing the previous explanation, we observe that the student has some doubts  related…

Q: Find y". 10 ..... 24 16 2 O A. 10- B. 12 10 + 8 10 + OC. 48 10 + 16 10- OD.

A:

Q: Let K = {A, Ā, A-°, A-o-, A°, A°¯, A°-o}. Show that K is closed under the interior and closure…

A:

Q: (f) Let A, B and C be three sets. Prove by contradiction that if An BC C and r E B, then x ¢ A - C.

A: Let A, B and C be the three sets. Prove that, A∩B⊆C, and x∈B, then x∉A-C

Q: .Complete: The train .... at 12 PM-6 a- do not leave O b- does not leaves O c- leave O d-does not…

A: Solution: The train..........at 12 PM

Q: (m) W ) Given A, Be {sets}, V AC B, A – B= A.

A: Given: A,B∈sets and A⊂B since A⊂B⇒A-B=ϕ we have to prove A-B=A So, these will happen when A=ϕ So,…

Q: Which of the following represents the green shaded portion of this Venn diagram? A B 10 6 4 12…

A: According to the given information, we haveThe Venn diagram is given.

Q: Let A = (2,3, 4, 6, 7) and B= (1,2,3,5,6). WW hat is A n B' ? (4,7) Osomething else (1.2,34,7)…

A: We have given that  A = { 2, 3, 4, 6, 7 } and B = { 1, 2, 3, 5, 6 }.

Q: If a|b, then a|(bc). Direct proof.

A:

Q: Let U = R, A =[-6, 3), B = (-1,5), and D = [-7, 1]. Find (i) AN Bº (ii) (BUD)e

A: We use De' Morgan's law and union, intersection and complement of set to answer the given question.

Q: 10) n(A v B) = n(A) + n(B) – n(A ^ B) %3D A) True B) False

A: Given A=q,s,u,w,yB=q,s,y,z

Q: What is the venn diagram for this? (C∩B)∪A

A:

Q: 1. Use set identities to show that (A U B) n (B U A) = A where A and B are sets. Let A = {1,2, 3}…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.