15) A = {1, 2, 3, 4). Select the statement that is false. a. Ø € P(A) b. Ø≤P(A) c. {2,3} € P(A) d. {2,3} ≤ P(A)

Q: I. TRUE OR FALSE. Write 1 if the statement is always true. Otherwise write 0. 7. For any sets A, B,…

A: Given that  for any sets A,B,D, if B⊆A then D-A⊆D-B We have to check that the above statement is…

Q: Construct an example of a example of a Tautology not covered herein.

A: Tautology A tautology is a compound statement which is true for every value of the individual…

Q: - For all sets A, B and C. Is (An B) U C =An (Bu C)? Justify your statement. You may ju

A: Yes, the above statement is false and the proof of above statement is given below:

Q: A = {xe Zx is odd} B = {2, 3, 5, 6, 9, 14} C = {xEZ:4≤ x ≤ 12} Select the set corresponding to (An…

A:

Q: 2.5.22. Let A, B,C be three sets. Prove that if A \ B C C, then A \C C B.

A: Given: Let A,B,C be the three sets. A-B contained in C

Q: One of the following sentences is FALSE. Select one: а. - %3D ASAUB O_ b. ASB → ASB ANBSB d. Non of…

A: (1) Let A and B be two sets and let A¯=nA To determine the false statements. (a) nA≤nA∪B For any…

Q: 1. A = {2,5 – 7} and B = {a, k, u, j}. What is A x B? 2. U = {11, 22, 33, 44, 55}. V = {1, 2, 3, 4}.…

A: As per guidelines, I can answer only one question.

Q: Which of these sets are equal: {x, 1, z}, {z, 1, z, x}, {1, x, 1, z}, {1, z, x, 1}?

A: Given sets are x,1,z , z,1,z,x , 1,x,1,z , 1,z,x,1 find out which sets are equal

Q: Decide whether each of the following statements are true. (a) If a, b, m, n = N and a | m and b | n,…

A:

Q: Which of the following statements is correct about the set -3 6 -898) 2 -4 -2 S = Select one: O O O…

A: There is set S given. One has to check whether S spans the vector 333 and vector space R3 or not.…

Q: d) Suppose X = {1,2, 3} and Y = {5,6}. The number of elements of the set P(X× Y) =

A: Elements in X = 3. Elements in Y = 2 Elements in X × Y = 3 × 2 = 6

Q: 5. Indicate TRUE or FALSE. If a statement is false, correct it to obtain a true statement. (10) a.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 3 Shade the set (R nc)UT. =(RAC) UT and C-(RUT)

A:

Q: Find the complement of the set given that  U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: Complement: The complement of a set A is the set of elements in the universal set U that are not in…

Q: Which of the following set is consistent? Select one: O i. None of these O ii. (A&~(BVA) } O i. {J>…

A:

Q: Express the set in interval notation. 3 Select one: O a. [3,9) O b. (3,9] O c. [3,9] O d. (-∞,3) 9

A: The number line represents the solution  the aim is to find the solution in interval notation

Q: Which of the following set is empty a. {x: x = x} b. { x : x != x 2 } c. { x : x ! = x } d. {x:…

A: Empty set:            The empty set is the unique set having no elements. and its cardinality is…

Q: Let a, b eR such that a < b. Which of these intervals is/are not closed? II: (a, b] III: (a, b) I:…

A: Given that a, b are two real numbers such that a&lt;b We have to identify which are not closed…

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

A:

Q: Let A2A2 be the set of all multiples of 2 except for 2.2. Let A3A3 be the set of all multiples of 3…

A: Let A and B be two sets. Then the union of two sets will be the set that will contain all the…

Q: 5. Аx (В — С) %3D (А х В) — (А хС) 6. (А - В) хС %3 (АxC) — (В хС)

A: To prove the given statements.

Q: 3. Let U= {x: xEZ, 0<x< 15} A = { x: x E N and (x − (m + 3)(x − (m + 2) = 0}, B = {8,6,7,9} and a.…

A:

Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 7}.  (Enter your answers as a…

A:

Q: Let A, B, C, D be sets. (ANB)x(CND)=(AXC)n(BxD). True. False.

A: Use the basic properties of intersection and cartesian product to prove the given relation.

Q: Mark the statement which is TRUE. O A. AN (BUC)- (AU B)n (A UC). O B. if ANB= AUB, then A = B. U C…

A:

Q: Which of the following is/are correct for the set A which is the set of even numbers greater than…

A: Let A be the set of even integers greater than 20. Hence, set A={22,24,26,28,…}

Q: 21. Which of the following is/are a mll set? 1. (r:z is prime and 7 <S 10} A I and II only B. I only…

A: As this is a multiple question type, only first question is to be solved, according to the Bartleby…

Q: Given: Sets: A={-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5} and B={0, 1, 4,9, 16, 25} Relation: R≤BX A…

A:

Q: Find n(A) for the set. A= {5, 5, 6, 6, 9, 9} O A. n(A) = 10 O B. n(A) = 3 O C. n(A)= 6 O D. n(A) = 5

A: We have to find nA for the set, A=5, 5, 6, 6,.....,9, 9 nA is the number of elements present in the…

Q: 1. Consider each addition problem. Is the sum positive? Select Yes or No for A-C. A. -18 + 27 + (-…

A:

Q: 3. Referring to the four sets given in Prob. 2, find: (a) S₁ U Sz (c) S₂ S3 (b) S₁ U S3 (d) S₂ S4 4.…

A: Given that 4. Which of the following statements are valid?   (a) AUA = A (b) A∩ A = A (c)AU∅=A…

Q: Find the complement of the set given that U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A:

Q: Which elements are in the set X = {u E Z |u s 4 or u 2 1}? Select one: a. {1,4} b. {2, 3} c. {1, 2,…

A: Given below the detailed solution

Q: Q1. How many different subsets are in cach of the following sets? Justify your answer. (a) (0} (b)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Let R = {(a, b), (b, a), (a, c), (c, d), (d, a)} a. Is (a, c) E R³? b. Is (a, a) E R²? c. Is (c, c)…

A:

Q: Express the set in roster form. B= {x| xEN and x is even) Choose the correct answer below. O A. B=…

A: Please refer the attached image for complete solution.

Q: (5) State explicitly the elements of C (write set C in set-roster notation) (6) State explicitly…

A: (5) We are given that          A = {-2, -1, 0, 1, 2}          C = {n2 ∈ IR : n ∈ A} So, in…