Show that a) A − ∅ = A. b) ∅ − A = ∅.

Q: If p = (u, v, w), show that Ipl < lu + |e| + |w미 а. b. Ju| < \pl, \v] < \pl; |w| < \pl.

A: (A) (|u|+|v|+|w|)2 = |u|2 + |v|2 + |w|2 + 2|u||v| + 2|v||w| + 2|w||u|…

Q: Complete this formal proof of-(~A&-B) from A in as few lines as possible. Justify subproof…

A: The objective is to complete the proof of

Q: s, proof that (A UB)' =_

A: we have given A={0,1,2,6} B={4,6,5} C={1,3,5}

Q: Construct a Venn Diagram 1. No vegetarian owns a gun. 2. All policemen own guns. Therefore, no…

A: Given: 1.No vegetarian owns a gun  2.all policeman own gun

Q: Which of the illustrations below corectly shows the assembled house?

A:

Q: TU || SV and UV || ST. Complete the proof that ASUV AUST.

A:

Q: Show that if A ⊂ B, then C – B ⊂ C – A.

A:

Q: The set of numbers in the form , where a and b belong to the set in Exercise 8 and b # 0, is called…

A: Rational numbers are represented in the form of pq where q≠0.

Q: 4. Use set identities or different proof method to show that: (A U B) n (B U A°) = B

A:

Q: Prove that if ACC and A CBC C, then either A CB or BCC

A:

Q: Prove if a,b > 0 then : a+b>1, to aª + bª 1 > 8

A:

Q: In ([0, о), т оос), if A %3DN, then A'%- Оа. А-{1} O b. [0,0) О с. (0, о) O d. Ø О е. А

A: ( [0, infinity) , Tcoc)  Since it is Co-countable topology. All countable sets are closed in given…

Q: Evaluate each of the Fo llowings. V bano do V2

A: As per company guidelines we can solve first question. I hope that the given solution will help you.…

Q: Prove: If = ¿ (where a, b, c, and d are nonzero), b then d*

A: Given:               ab=cd  (where a,b,c  and d are non zero.)

Q: In general, to represent a catégóričal predicte categories, seU ieun

A: Given that  To represent a categorical predictor variable that has n possible categories. Possible…

Q: Prove that if A and B En and Ac B, then

A:

Q: siven: ALMN; mLL > m2N rove: MN > TM

A: We have to prove that one side is greater than other side in given triangle.

Q: Give the definctiua of the, hctat matan padet AR Sy Usc yous onswer to Identeta the sze of the…

A: As per policy question (a) solved.Please re-post for the question (b).

Q: The line in 5° Land (2.1,4 going through the erigin

A:

Q: If ARST AKMN then <RE [?]

A: Recall:Two triangles are said to be congruent if all three corresponding sides are equal and all the…

Q: 4. Given that AB || CF, mZE = 48° and mzB=78°, Prove: mzF=30° A, C. 78° B 48° ET

A:

Q: According to Bayes' Theorem, letting p = P(A), q = P(B), r = P(A|B), we can express P(B|A) as...…

A: Given that P(A) = p P(B) = q P(A | B) = r

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: Let A 3 and U = |- Then A2017U is equal to

A:

Q: Give an examf there exists pairwi- are no te:- Explai

A: In this question we have to find different integers a,b,c,d such that there exist no positive…

Q: Suppose that X, Y subset U. If Pr(X)= 0.35, Pr(Y)= 0.36, and Pr(X intersect Y)= 0.09, what is Pr(X’…

A: Given, Pr(X)= 0.35 Pr(Y)= 0.36 Pr(X intersect Y)= 0.09  Pr(X’ U Y)=?

Q: Derive k, kkg and ky fourth order Runge Kutta methed-

A: Range Kutta

Q: U is the set of TV owners and W is the set of people who watch The Walking Dead, describe W' in…

A:

Q: Prove: Va,b,ce Z, if a|b and a|c then a|(b-c)

A: ab  &amp;  ac This means that b &amp; c are multiples of a. ⇒b=a·k  &amp;  c=a·m     where k, m∈Z

Q: Prove coshlutu) = Coshuashu.

A: Given data is : coshu+v=coshucoshv+sinhusinhv To prove the above equation. Use the formula of…

Q: If a is transcedental over Q then a^2 is also transcedental over Q

A:

Q: Use algebra to prove | (ka, kb)| = |k| • | (a, b)|.

A: To prove: |(ka , kb)| = |k|.|(a , b)| L.H.S  = (ka , kb)            = k(a, b)                  . .…

Q: Given: 24 = Prove: 25 = 26 9, atements Reasons Gro en 25 26 5

A:

Q: If a, b, c are in A.P., then prove that ao +C), b(c +a), c(a + b) ab are also in A.P. bc са

A: arithmatic sequence prove , a, b,c are in A.P then prove

Q: Prove that if ACC, BCC, and (C A) CB, then C= AUB.

A:

Q: 1. It consists of elements that are in A but not in B. universa

A: Given that  It consists of elements that are in A but not in B. Note: According to bartleby experts…

Q: Which postulate or theorem should be used to prove AHIG AJKI? G O ASA O SAS O SSS O AAS

A:

Q: If X, then Y. If Y, then Z, y is true, So:

A:

Q: Given the sets A={1,2,3,4,5), B={2,3,7,8}, C=(1,9): (a) Compute C\(AUB) (b) Is it true that (Bn C) C…

A: Given that,

Q: In order to prove A ABENA ACD,whih

A: Given,       To prove that,           △ABE~△ACD

Q: In (R, Tu), if A = (1,3) n (Q – Z) then - - A =

A:

Q: Suppose that X, Y are subset of U. If Pr(X)= 0.35, Pr(Y)= 0.36, and Pr (X intersect Y)= 0.09, what…

A: Given Suppose that X, Y are subset of U. If Pr(X)= 0.35, Pr(Y)= 0.36, and Pr (X intersect Y)= 0.09

Q: - True or False and Why. (a) {{1}, {42}} = {1,42} (b) U{{1}, {42}} = {1, 42} %3D (c) U{1, {1, 42}} =…

A:

Q: Is it true or false A" |=| A|"?

A:

Q: R.

A:

Q: b- If u=tan¬'(), verify that a²u , a?u + ax? ду?

A:

Q: Use the Venn diagram below showing the number of elements in regions I through IV to determine the…

A: The venn diagram showing the number of elements in regions I through IV.we have to find number of…

Q: What is the size of the symmetric difference of two finite sets A and B, that is AA BI ? o IIAI -…

A:

Q: Prove that if C is equivalent to B and B is equivalent to A, then C is equivalent to A.

A: The relation 'R' = 'is equivalent to' is transitive. Therefore if x R y and y R z then x R z.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.