Let A = {1, 3, 5, 7}, B= (5, 6, 7, 8), C= {5, 8}, D= (2, 5, 8}, and U=(1, 2, 3, 4, 5, 6, 7, 8}. Determine whether the statement shown below is true or false. If it is false, then give the reason. CCD ..... KDA. False; D is a subset of C. O B. True O C. False; C is equal to D. O D. False; C is not equal to D. ary

Q: Given A⋂B = {s, z, u} and A⋂C = {s, z, u, m, n} .Find how many elements the set A⋂ (CUB) has?

A: We know that A⋂ (CUB)= (A⋂B)U A⋂C

Q: Give direct and indirect proofs of: p→q,¬r→¬q,¬r⇒¬p. p→¬q, ¬r→q, p⇒r. a∨b, c∧d, a→¬c⇒b.

A: Direct proof :  step  reason 1. p→q premise  2.¬p→¬q premise  3. ¬r premise  4. ¬q 2,3,MP…

Q: Let A, B and C be members of C. Compare An (BuC) and (An B)U(AnC)

A: A Venn diagram is a graphical representation of a sample space. The sample space in a Venn diagram…

Q: For each pair of statements, choose the one that is true. Oxe {w, x} (a) O {x} e {w, x} O {6, 7, 8}…

A: We have to find the true one

Q: Let A and B be sets. 1) If |A| = 10, |B| = 24, and |A n B| = 4, then |A U B| = || %3D 2) If |A U B|…

A:

Q: Which of the following are correct statements if B = (1, 2, 3, 4, 5, 6) ? * BC (1, 2, 3, 4, 5,6, 7}…

A: Given: B=1, 2, 3, 4, 5, 6

Q: 2. Let U= { 11, 12, 13, 14, 15, 16, 17, 18, 19} and A = {12, 14, 16, 18} , B = {12, 15, 16, 19}, and…

A: A∩B={ Memberes in both A and B}A∩B={12, 16}

Q: Use C, $, C, or both C and C to fill in the blank below to make a true statement. (а, b} _ (z, а, у,…

A: Note: Since you have posted multiple questions we will solve only the first question for you. If you…

Q: Consider the poset (z*, |). Which of the following pairs of elements are comparable? 5, 15 6, 9 8,…

A: We have to determine whether the given pairs of elements are comparable or not in the poset Z+,| (1)…

Q: If U={−2,−1,3,4,5,7.5,8,8.3,9,12,15,16}, A={−1,4,7.5,9,12,15}, and B={−2,−1,4,7.5,8,9,16}. Find…

A: We first draw a Venn diagram

Q: Given: A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 5, 6}, and C %3D = {1, 6, 7}. Find: (A U B) NC = O {1, 2,…

A: Given: A=1, 2, 3, 4, 5, 6, B=2, 4, 5, 6, and C=1, 6, 7.To find A∪B∩C.

Q: Let S = { a, {1, b} , (2 , c),4}, then {1, b} e S O TRUE O FALSE

A:

Q: Let A = {1, 3, 5, 7}; B = (5, 6, 7, 8}; C = {5, 8}; D = {2, 5, 8}; and U = (1, 2, 3, 4, 5, 6, 7, 8).…

A: Find your answer below

Q: Re(z,€,) = Re(*,)R (z,) O True O False

A:

Q: Given the sets A = {5,6, 7}, B= {0, 1, 2, 3, ...}, and C {4, 5, 6}, tell which of the following…

A: Given the sets A=5, 6, 7B=0, 1, 2, 3, ...C=4, 5, 6 We shall check the correctness of statements a,…

Q: Let R={y,p}, S={z,p,u}, and T={r,y,p,u,z}, For each of the following questions, enter T if the…

A: Given that R={y,p} ,S={z,p,u} ,and T={r,y,p,u,z}1) R has the element y, but S does not have y in it.…

Q: Given the diagram shown, which of the following statements are true. H IZJHL ZJIK O 1 only O II, II

A:

Q: Let A, B and C be members of C. Compare An(BUC) and (An B) U (AnC)

A: Introduction: Suppose x belongs to the set A ∩ (B ∪ C).

Q: If p, q and r are all FALSE statements, which of the following is TRUE? O a. ~p+ (q V r) O b. ~q→…

A:

Q: If U={−3,−2,1,3,4,5,8,10,11,12}, A={−2,1,3,4,5}, and B={−3,−2,3,8,10,11}, find Ac∪Bc using De…

A:

Q: Let A = {2,4, 6, 8}, B = {3,4,5,6} and D = {4,5}, Which of the following statements is/are true?…

A:

Q: From the Venn Diagram below: Find (AUB)'nA 1 9 6 12 4 8 10 7 11 O A) { } O B) None O C) {3,6,9,12} O…

A:

Q: Consider statements p and q.

A: Solving the problem with conjunction or disjunction.

Q: Let A = {1, 3, 5, 7}, B= {5, 6, 7, 8}, C= {5, 8}, D= {2, 5, 8}, and U= {1, 2, 3, 4, 5, 6, 7, 8}.…

A:

Q: (a) If ANC C Bn C, then A C B. (b) If A U C C BUC, then A C B. (c) If A U C = BU C, then A = B.

A:

Q: Let A = {July, John, James, Jared, Jeffrey, Jelly}, B = {John, Jelly, Jared}, and C = {Sally, Solly,…

A: Relation question

Q: 10 Jlgull et S={1,3,5,. . .;2,4,6, .}, then s(7) = {1,3}.a O {1,3,5,.. .}.b O {1,3,5}.c O…

A: Given a statement

Q: If p, q and r are all TRUE statements, which of the following is FALSE? ~ (р^q) —т a. O b. ~pHN (q V…

A:

Q: Select all of the true statements: Vn e N, 3r e R, n<r * 3n e N, Vr E R, n <r Vn €N, Vr E R,n <r En…

A: We have to find out all the true statements from the following given statements ∀ is " For all"…

Q: o (4} e {4, 5, 6} (p) o (4} Z {5, 6, 7) o {k} c {h, k} (ɔ) Okc {h, k} 5YO o {11, 13, 15} c {1,3, 5,…

A: To choose the correct onea) r∈m, r r∈m, rb)  11, 13, 15∈1, 3, 5, 7, ...11, 13, 15⊆1, 3, 5, 7, ...c)…

Q: 2. Find Ju x v| and determine whether u x v is directed into the page or out of the page. |v|= 5 45°…

A:

Q: Look at the diagram and evaluate. Which of the statements below is TRUE? UV O 1 7 8 9 10 11 12 13 14…

A:

Q: If P(A U B) = 0,5 and P(AN B) = 0,5, then P(A) = P(B). * O true O False

A: We have to find given statement is true or false..

Q: Let A = {1, 3, 5, 7}; B = {5, 6, 7, 8}; C = {5, 8}; D = {2, 5, 8};and U = {1, 2, 3, 4, 5, 6, 7, 8).…

A:

Q: Given that p(A)=.52, and p(A│B)=.89, are A and B (a) independent? (b) exclusive?

A:

Q: Given that U = { 1, 2, 3, 4, 5 } and A = { 1, 2, 3 }, find the complement of set A. O { 1,2, 3} O…

A: We have to find complement of A

Q: Look at the diagram and evaluate. Which of the statements below is FALSE? АВ С O 1 2 3 45 6 7 8 9 10…

A: Solution: The objective is to evaluate the which statement is false

Q: Determine whether ⊂, ⊆, both, or neither can be placed in the blank to make the following true.…

A: we have two sets (say A and…

Q: Which of the following statements is FALSE ? O {2,3,4} C A implies that 2 E A and {3,4} C A O…

A: Given query is to find the false statement.

Q: If P(A)-=0.7, P(B)=0.3, and P(A and B)=0.07, are A and B independent?

A: The probabilities are PA=0.7,PB=0.3, and PA and B=0.07. If the event A and B are said to be…

Q: Given u=⟨4​,5⟩ and v=⟨7​,5⟩​,find 6u−10v.   6u−10v=(,)

A:

Q: If w is FALSE, x is TRUE, and y is FALSE, what is ((w OR y') AND (x' AND y')') OR ((w OR y')' AND (x…

A: If w is FALSE, x is TRUE, and y is FALSE, we need to find ((w OR y') AND (x' AND y')') OR ((w OR…

Q: Let A = {1,2} and B = {3,4}. Prove or disprove the statement: “ If C = A × B , then |C| = 4 "

A: We will use the concept of multiplication of 2 sets and then we will find the cardinality.

Q: Let S = {Ø, {a}, b, {a, b, c}}.Select the statements that are true. {b, {a,b,c}} C S {b, {a} ,Ø} C S…

A: If A is a set whose all element are from the another set B, then A is said to be subset of set B.

Q: given u = {x/x is the set of letters in the english alphabet; a = {a, e, i, o, u , b = {x/x is the…

A:

Q: Let A = {c, d, f, g), B = {f, j}, and C = (d, g}. CsA A) True (B) False

A:

Q: Given that U={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20} A={1,2,3,4,5,7,8,9,11,13,14,16,17}…

A: Given ,…

Q: suppose A = {a, b, c}. Mark the statement T or F {b, c} ∈ P(A) {{a}} ⊆ P(A)  ∅ ⊆ A {∅} ⊆ P(A) ∅ ⊆ A…

A: we have to observe the given statement is true or not

Q: Given U={q, r} and V={s, t}, then: uV = {(s,q),(t,r),(r,s),(t,q)}

A: By the relation from linear algebra  we can solve this question.

Q: Let a1 , az , .. , a7 e N. Show that if a¡ , a2, 7| (a, + az + ... + a7) .... 2.. a7 are…

A: