4. Let B = {1, 2, 3, 4, 3, 2, 1}. What is |B|?

Q: List all possible subsets 1. E = {1, 2, 3, 4} 2. D = {1, 2, 3} 3. C = {1, 2} 4. B = {1}

A: To find: The subsets of all given sets.

Q: Let A = {1, 3, 5, 7, 9},  B = {3, 6, 9}, and  C = {2, 4, 6, 8}. (g) B ∪ C:  (h) B ∩ C

A:

Q: 4. Let a, b, c E Z. If c divides a+b, then c divides both a and b.

A:

Q: Let A={1,2,3,4,5} and B={6,7,8,9}. Find A∪B.

A:

Q: 8. Let A = {Al, Beth}and B = {up, down, left, right}. Fine %3D

A: # we are entitled to solve one question at a time, please resubmit the other questions if you wish…

Q: 3. Let A = {1, 2, 3}. What is |A|?

A: If A = {x,y,z}  |A| = sqrt x^2 + y^2 + z^2

Q: What is the largest value of r for which N(2.2, r) is a subset of S = ( – 5, 3) U (1.7, 4.6) .

A:

Q: Let U= {2, 6, 8, 10, 12, 14, 16, 18}, A= {2, 6, 10}, B= {6, 10, 16, 18}, and C={14, 16}. Find B U C

A:

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: Let a, = 1 and a₁ + a1 = n² + 2n, n ≥2. Evaluate S

A:

Q: Let A = {0, 2, 4, 6, 8, 10}, B = {0, 1, 2, 3, 4, 5, 6}, and C = {4, 5, 6, 7, 8, 9, 10}. Finda) A ∩ B…

A: As per the guidelines we are entitled to solve only first three parts of the question. For further…

Q: Let X-Bin(5,0.5), then P(x >3|x >2) is

A:

Q: Let X={a,b,c,d), f = ((a,b),(b,a),(c,c),(d,d)}CX×X, and g= ((a,d),(b,a),(c,b),(d,c)}CX×X. Find gof.…

A: Use the definition of composition of functions to solve this problem as in next step.

Q: Consider the following two sets:   A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} B = {–9, –6, –3, 0,…

A: The intersection of two sets A and B contains the elements that the two sets have in common.

Q: Let S = {1,2,3, -} and B = {2,3, . , 20}. Then: A) inf B = {20, 21, . }. B) inf B = {1,2}. C) inf B…

A: Given: B=2, 3, …, 20 To find: inf B

Q: Let A = {0, 2, 4, 6, 8, 10}, B = {0, 1, 2, 3, 4, 5, 6}, and C = {4, 5, 6, 7, 8, 9, 10}. Find a) A ∩…

A:

Q: Let A = {5, 6, 7,9}, B = {x € N|x is odd} , C = {1,2, 3, 4, 5, 6, 7, 8, 9}. Show that A B and ACC.

A:

Q: If x[n]= {2,0,3,4}, x[(n-2),]= O a. {3,4,2,0} O b. {3,0,2,4} c. (2,4,3,0} O C.

A: The sequence is xn=2, 0, 3, 4. Then,  x0=2x1=0x2=3x3=4 Now, consider the sequence xn-24. Then, we…

Q: Let = [1, -1, 1], [-2, -1, 3] and = [-1, 2, 2]. Find (u ×7)•w: O-14 07 O 10 Does not exist

A:

Q: Let ü = [-2, 1, 3] and v = [4, - 3, 1]. Determine: 4.

A:

Q: 14. consider the following sets: U={-5,-4,-3,-2,-1,0,1,2,3,4,5}; A={x: x^2=25} ;B={-5,0,1,2,3,4,5};…

A:

Q: . Let U = {2,3, 5, 7, 11, 13, 17,19} %3D A = {5,7,11,13} B = {2} C = {13,17,19} D = {2,3,5}

A: →A∪B : Set of elements present in either A or B.→A∩B : Set of elements present in both A and B.

Q: Let a = (5, – 3, 6) and b = (5, 3, 4). (a – 6) × (ã + 6) -| X (a +

A: Given: a→=5,-3,6and b→=5,3,4

Q: Q2: if A= [{1,2},{3}], H= [{1}, {2,3}], G= [{1,3}, {2}] Show that A, H and G are mutually disjoint

A: Note: " Since you have posted multiple questions. we will solve the first question for you. To get…

Q: Let X N(10, 23). Then P( X< 10) =

A:

Q: Let A = {1, 3, 5, 8}, B = {3, 5, 7}, and C = {2, 4, 6, 8}. Find:(a) A ∩ B   (b) A ∪ B   (c) B ∩ (A ∪…

A: A=1,3,5,8, B=3,5,7 and C=2,4,6,8(a) A∩B=1,3,5,8 ∩ 3,5,7=3,5

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and    B = { 2, 3, 5, 7 }. Find A ∩ B and hence show that A…

A: A ∩ B = {1,2,3,4,5,6,7,8,9,10} ∩ {2,3,5,7}           = {2,3,5,7}           = B

Q: Let X-Bin(5,0.5), then P(X >3|X >2) is

A: Given information: Given that the random variable X follows binomial distribution with parameters n…

Q: 5. If A = I then what is A?

A: Here given as A2=I Taking determinant both side A2=IA2=1A=±1 Thus A is non singular and inverse of A…

Q: Let â = (2,0, –3), %3D b = ( and -4, –7,1) c = (1,1,–1). Find

A: The given vectors are a⇀=2, 0, -3, b⇀=-4, -7, 1  and  c⇀=1, 1, -1.

Q: 19. Show that (for n = 0, 1, 2,..) (a) F(-n, b; c; 1) = (c-b)n (c)₁

A: We have to show F-n,b;c;1=c-bncn Solution: By Pochhammer definition cn=Γc+nΓ(c)           (1) and…

Q: Each student in Liberal Arts at some college has a mathematics requirement A and a science…

A: Each student in liberal arts at some collage has a mathematics requirement B.A poll of 140 sophomore…

Q: (9) 8 given that A has occurred

A: The conditional probability is defined as P(B | A) = P(A and B)/P(A)

Q: Let A = {0, 2, 4, 6}, B = {1, 2, 3, 4, 5}, and C = {1, 3, 5, 7}. Find A n C. ||

A: Given, A = {0,2,4,6} B = {1,2,3,4,5} C = {1,3,5,7}

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, a, b, c, d, e}. If A = {1, 2, a, e} and B = {1, 2, 3,…

A:

Q: If U = {a, b, c, d, e, f, g, h}, A = {a, c, e}, B = {b, d, e, f}, finds the result of: a. B' b.…

A:

Q: Let A=[-1,7[,8={-1,3,10,12} and C={}}. Then (A-B) UC= *

A:

Q: Let A = {0, 2, 4, 6}, B = {1, 2, 3, 4, 5}, and C = {1, 3, 5, 7}. Find B U (AN C). || {

A:

Q: 2. If S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9) and A = {0,2,4,6,8), B = {1,3,5,7,9}, C = {2,3,4,5} and D =…

A:

Q: Let A = {1, 3, 5, 7, 9},  B = {3, 6, 9}, and  C = {2, 4, 6, 8}.   a) A ∪ B:  (b) A ∩ B:  (c) A ∪ C

A:

Q: Let U= {1,2,3,4,5,6,7,8,9,10,11} A= {3,5,8,11} B= {2,5,6,7,8} C= {3,4,6,7,8,10,11} D= {1,3,5,6}…

A:

Q: Is {2,2}={2, {2} }? How many elements are in the set {a,a,a,a,a}? {x€N|xis greater than 10 and x…

A: First we have to check 2,2=2,2. Here in set 2,2 2 is the element but in 2,2 2 and 2 are the…

Q: 9) Determine whether AMNO = AQRS. Explain. M(0,-1), N(-1,-4), 0(-4,-3), Q(3,-3), R(4,-4), S(3,3)

A: Given, M0,-1;    N-1, 4;    O-4, 3Q3, -3;    R4, -4;   S3, 3 We have to determine whether  ∆MNO…

Q: Let A = {0, 2, 4, 6, 8, 10}, B = {0, 1, 2, 3, 4, 5, 6}, and C = {4, 5, 6, 7, 8, 9, 10}. Prove the…

A: We will prove the following identity: (A − B) − C = (A − C) − (B − C) A ∪ (B ∪ C) = (A ∪ B) ∪ C

Q: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}.…

A: Given :A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}

Q: 15. consider the following sets: U={-5,-4,-3,-2,-1,0,1,2,3,4,5}; A={x: x^2=25}…

A:

Q: ,י.,יV If z,.z, EC then Z,+Z,=Z,+Z20 z,+Z,=00 Z Z,=0-Z,=0 or z =00

A: given two complex numbers

Q: 3 4 If then r=

A: