Which of the following statements is true OA For all sets A, B and C. if AUC=BUC then A =B. O B. For all sets A. B and C. (A-B)n (C-B)=A- (BUC) %3D OC. For all sets A. B and C, if AnC=BnC then A=B OD For all sets A. B and C, (A-B)n(C-B)= (AnC) -B %3D O E. For all sets A. B and (, A- (B- C) = (A – B) -C | Addre- 口|C 99+)

Q: 4. Show that for all formulas p, ý, 0 € S(P), (a) (y = ) = ¬(e^ ¬b).

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Q: Consider the sets A = {1,2, 4, 7} and B = {3,4, 7, 10}. C = AU B D= AnB %3D E = A \ B %3D F = AC in…

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Q: 2. All are allowable values of x in y = ÷cscx except. c. a. d. R b.-

A: We are asked to find all allowable values of x in y=12csc x

Q: If A, BC S such that P(A)=0.7, P(B)= 0.5 and P(A NB)=0.3, then P(A|B) =

A: Here use venn diagram and Bayes theorem

Q: If a, b eR such that a < b, find 1 b+ n=1

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Q: Match these values of r with the accompanying scatterplots: 0.993, 1, 0.764, -0.993, and 0.408. W…

A: Solution: Correlation: Two variables are said to be correlated if there is a change in one variable…

Q: Label each of the following statements as either true or false.   If a l (b + e), then a l b or a l…

A: Given :          If a / b + e then a / b or a /e.   To determine the above statement is true or…

Q: Given that n(S) = 44, n(A) = 15, n(ANB) = 7, and n(A u B) = 24, then n(B) = %3D %3D %3D

A: Probability is defined as a number between 0 and 1 representing the likelihood of an event…

Q: disprove the fallowing A,B and C; of for D PLAUB) - P (A) U P (B) ll

A: Please refer to the image below

Q: Let X=R. and M = ®, then span (0) = o (0} OR

A: {0} is the correct answer.

Q: Consider the following sets A = {x |x > 1}, B = {x E N|1< x < 3} and C = (-2, 2). %3D 1. Find: (а)…

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Q: If E, F are independent, E and D are disjoint. P(D)=0.2, P(E)= 0.5, P(F)=0.5. What is P(E ⋂ F' ⋂…

A: We have to find P(E ⋂ F' ⋂ D').

Q: Let Z = min[X, Y]. P[Z <= 5] ? E[Z] ? P[X < Y]?

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Q: Write out the following sets by listing their elements between braces. 9. {X :X < {3,2,a} and |X|=…

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Q: prove that: DO e de a e +6 2/3 cwhere a, b > o

A: Where a, b&gt;0

Q: 8. Simplify each of the following sets using Set lIdentities a) Z = (P U Q) n (ēns) c) Z = (PU Q) n…

A: a) Z=(P∪Q)∩(Q-∩S)   =(P∩(Q-∩S))∪(Q∩(Q-∩S))   =(P∩(Q-∩S))∪((Q∩Q-)∩S)   =(P∩Q-∩S)∪(∅∩S)   =(P∩Q-∩S)∪∅…

Q: Given F(A, B, C, D) = A'B'C'D' + A'B'C'D + A'BCD' + A'BCD, express F(A,B,C,D) and F '(A,B,C,D) in…

A: Solution: Given that F(A, B, C, D) = A'B'C'D' + A'B'C'D + A'BCD' + A'BCD Now, truth table Row no.…

Q: The number of non-empty subsets of B is |{S:SC A, S = 3 and Sn B = 0}| = max {|S|: SC AUB, SNA| is…

A: Given that A and B are finite sets satisfying A=6, B=7, A∩B=2. Since, B=7. So, total number of…

Q: For all a,b€ R, if|a – b|< min(a,b), then prove that max(a,b)< 2min(a,b). く

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Q: Indicate whether the two sets are equal. D = {x: x is a natural number less than 3}, E = {1, 2, 3}

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Q: 1. Prove: Va, b, c E Z: alb and blc = alc 2. Give an example with a = 7 and b, c + 7.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: For which values of ß does {(1,0, ß),(1,2,–3)(B,1,0)} span R'?

A: If spans the same subset of R³, the vectors must be linearly dependent to each other.    Therefore,…

Q: e the coordınates of the Vertlces arter a ection over the 10 6 4 2 10 -8 -4 -2 2 4 8 10 -2 -4 10 6.

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Q: Which of the following statements is always true (select all that apply)? Р (AUB) — P(A) + Р (В) Р…

A: The probability of an event is the chance of occurrence of that event.

Q: Suppose that A,B⊂S such that Pr[A|B]=25, Pr[A]=12 and Pr[B′]=12. What is Pr[B|A′]?

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Q: .Use Venn diagrams to determine whether following is true. a. A – (BNC) = (A – B) N (A – C)

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Q: Consider sets A and B as follows: A = {x € Zx = 8k + 28 for some k E Z} %3D %3D {y € Z[y = 4m for…

A: (i) Let x € A     Then, there exist some integer k such that,               x = 8k + 28…

Q: Match these values of r with the accompanying​ scatterplots:: 0.371, 0.997. -0.71, -0.997, 0.71…

A: Given: r=0.371, 0.997, -0.71, -0.997, 0.71 We are asked to match these values with the accompanying…

Q: If the sets A, are independent and P(U, A,)=1 then P[A i.o.] = 1. %3D

A: Let {An}n=1∞ be an infinite event satisfying P(An)&lt;1 for all n, then  P∪n=1∞An = 1 if and only if…

Q: Write out the following sets by listing their elements between braces. a. {x € R:x? = x} x {x € R:…

A: Given, the sets. We have to write the sets in the list form.

Q: Suppose that A and B are two sets such that n[A] = 5, n[B] = 9, and n[AU B] = 13. If n[U] = 19, then…

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Q: Find conditions on a, b, c, and d such that AB = BA

A: , We need to find the values of a, b, c and d such that AB=BA

Q: Let A={2,y,z} and B={3,x,z}. How many distinct elements are in (A×B)∩(B×A)

A: Given, A={2,y,z} B={3,x,z} How many distinct elements are in (A×B)∩(B×A) ?

Q: Given U = {a,b,c,d,e.f.g.h.ij) A = {b,d.f,hj} B = (e,f.g,h.ij} find the following sets. a. {f,hj} b.…

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Q: eld of subsets of 2 and suppose Q: B [0, 1] is a set dditive on B. 1 for all A e B and Q(2) = 1.…

A: Complete proof is provided in step2.

Q: If+b+=++, then show that for 1 a" +b" +c"

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Q: Prove the following: For all sets A, B,and C : A x (BUC) 2 (A x B) U (A × C).

A: For any three sets A , B and C . We are given to prove the following…

Q: 1. If a, b e R and b # 0, show that: (b) la/b| = |a|/\b|.

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Q: Nhich of the following is true? * If A = (x: x [B| |A| < |B[ |A|

A: To solve the following problem, we use the defination of cardinality of a set. Cardinality of a Set…

Q: Let X1,., X, N(u, o?). iid N(H, o?). Find E(), if ju = X1 + (X2 + + X(n %3D 2(n-3) 17 16 4 O 17(n-2)…

A: Given that, E(X1)= E(X2)= ......E(Xn)= mu

Q: 7 La R,{(,-1). (e0). (d.1)} and R. subsets of AX B where A ((+1), (c,-1). (d.0). (r. 0). (u. 1)} be…

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Q: x E Keals

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Q: fA is smilar bo A" then all e isenualues oPA mush

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Q: Let z, w e C. Show that |2 + w? + |z – w? = 2(|2|2 + |w?). %3D

A: We will show the given result.

Q: Let A = {a,b, c} and B = {b, c, a}. Prove that A = B. Thus, the order %3| in which the elements are…

A: The given sets are A={a,b,c} and B={b,c,a}we have to show that A=BResult : two sets A and B are…

Q: 3A, B E {sets} such that A CBAA= B.

A: To check whether the given statement true or false: ∃A,B∈sets such that A⊆B∧A=B

Q: Ue he dhe g A IBhdependant APAR ndd) dapandert And Independent. Aand

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Q: Suppose you are given that A, B, C, D, E, F are points satisfying A ∗ B ∗ C, D ∗ E ∗ F, AB ≅ DE, and…

A: To go further, keep the axioms and propositions of incidence betweenness geometry handy...…