11. a. Is 3 € {1,2,3}? d. Is {3} € {1,{2}, {3}}? e. Is 1 € {1}? h. Is {2} € {{1},2}? į. Is {1} = {1,{2}}? b. Is 1 ≤ {1} f. Is {2} J. Is {1} = {1}? {1,{2},{3}}? c. Is {2} € {1,2}? g. Is {2} = {1,2}?

Q: 2. Assume U= Z, and let A = {..., -6, -4, -2,0, 2, 4, 6, ...} B = {...,-9, -6,-3, 0, 3, 6, 9,...} с…

A: According to guidelines we can solve only first three subparts.given , U=Now

Q: 1) -141, Vī, -8.5 , vZ , 1000

A: Since you have asked multiple questions in single request.so we will answering only first question.

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: 2. Determine in each case whether ACB. Explain each answer in one sentence. (a) A = {0, 2, 5} and B…

A: Answer  A) A is improper subset of B

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and C = {a, b, c, d}. What is |A × C|?

A: Given that A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and C = {a, b, c, d}.  We have to find |A × C|.

Q: If P = {a, b, c} and Q = {r}, form the sets P × Q and Q × P. Are these two products equal?

A: P × Q = {a,b,c} × {r} = {(a,r) , (b,r) , (c,r) } Q × P= {r} × {a,b,c} = { (r,a) , (r,b) , (r,c) }

Q: Find the complement of the set given that                                                     U = {x…

A:

Q: Determine if the statement is true or false. {x|x is a positive whole number} = {1,2,3...} Choose…

A:

Q: 1. Let the universal set be the set S= {0,2,4,6,8,10,12,14,16} and let A= {2,4,6,8}, B = {0,2,4,6}…

A: a)  b)  c) d) e)

Q: Let B={7,10,14,17}. Determine whether the statement is true or false.   {10,14,17}⊆B

A: B={7,10,14,17} To Determine whether the statement is true or false. {10,14,17}⊆B

Q: Given A=[1,2,3,4,5,6,7,8,9,10], B=[1,3,5,7,9]. Find A∩B.

A: The objective of the question is determine          " A∩B".

Q: Answer whether it is true or false. a. Is 1 ∈ {1}? b. Is {2} ⊆ {1,{2},{3}}? c. Is {1} ⊆ {1, 2}? d.…

A: # we are entitled to solve three subparts, please resubmit the question with other sub parts if you…

Q: 5. 10 cars are to be parked in an open field containing 20 parking spaces set out in two rows of 10.…

A: How many different patterns of unoccupied spaces are available if :-

Q: 3. True or False 1. Write in words the ff. set notations a. 3 € {1,2,3} b. 1C{1} c. {2} € {1,2} d.…

A:

Q: 6. Which statement is true? A. The sum of and is zero. B. The sum of - and - is zero. C. The sum of…

A: The sum of 2 numbers can be zero only in the case when the magnitude of them is same and their signs…

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: If any subset of size five is chosen from {1, -1, 2, -2, 4, -4, 8, -8), then prove that each of the…

A:

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

A:

Q: 1. If={1,2,3,4,5) and = (0, 0, (5), (1,2), (1,5), (3,4), (1,2,5), (2,3,4), (3,4,5), (1,2,3,4]} then…

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 f(x) = x2 + 2x – 1 and g(x) = 2x – 4. Find 2f(x) – 3g(x). - | 2x2 — 2х — 14 -3x2 – 2x – 1 |…

A: topic - functions and sets the two sets are equivalent and disjoint sets therefore ,i and iii only

Q: If the statement is true for all sets C and D, write "true." If it is not true for all sets C and D,…

A: Given: C≠∅U≠∅C⊂U We have to check that if U⊆∅ is true or false.

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

A: The given universal set .To find the complement of the set .

Q: A W C р 3 a 6.0 g h f B

A:

Q: 2. Express the set using the roster method. (x | XEN and xs 5) Choose the correct answer below. O A.…

A: In given question, we can define the set using roaster method.

Q: Given set A = {-10, -5, 0, 5} and set B = {-2, -1,0, 1, 2, 3,4, 5}. What is A U B? {-10,-5,-2, -1…

A:

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

A: First we write U in roster form.

Q: Which of the following sets are equal? A. {2,3} × {3, 4} B. {3, 4} × {2,3} C. {2, 2, 3, 3} × {3, 3,…

A: To choose: The sets which are equal. A. 2,3×3,4 Find the set. 2,3×3,4=2,3,2,4,3,3,3,4 B. 3,4×2,3…

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

A:

Q: If |A| = 10, |B| = 20, |C| = 30, |AN B| = 2, |ANC| = 3,|BNnc| =6,|ANBNC| = 1. %3D What is |AUBUC| ?…

A: Given that   |A|=10,|B|=20,|C|=30,|A∩B|=2,|A∩C|=3,|B∩C|=6,|A∩B∩C|=1.

Q: 2. Let A, B, and C be as in Exercise 1, let D = {3,2}, and let E = {2,3, 2}. Determine which of the…

A: See solution below. Properties of sets have been used.

Q: Jx + 1 if x is even b. f(x) = S = {0, 1, 5, 9}, T = Z – E if x is odd; 2 7 11

A: The given function isfx=x+1if x is evenxif x is oddS=0, 1, 5, 9T=ℤ-Ewhere ℤ is the set of integers…