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) E R5? d. For what values of k ≤ 5 is (a, d) E Rk?

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: Let A = {H, T}, B = {1, 2, 3, 4, 5, 6}, and C = {red}. Find the number indicated. n(A x C x C)

A:

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: Which of the following arrow diagrams defines afunction?

A: Function: A function relates each element of a set ( Domain) with exactly one element of another set…

Q: The following data reflect the number of defects produced on an assembly line at an electronics…

A: Reviewing information, X : No. of defects produced on an assembly line…

Q: Use the union rule to answer. If n(A) = 6, n(B) = 11 and n(An B) = 5, what is n(A U B)? n(A U B) =

A:

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: 6. 3c2 - 5c for c = 3 76 8. 5a 3b + 5 for a = 4 andb 3 %3D

A: To find the values of the given expressions (6) 3c^2-5c at c=3 (8)5a-3b+5 at a=4 and b=3.

Q: E. Let A = [-2,2] and B = {(-1/n, 1/n) neN}. Determine the following: %3D 1. UA\B 2. U ANB BEB BEB

A:

Q: (D-C) n (B-A)C

A:

Q: need

A: Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts at…

Q: If X = {1,3,4,15}, Y = {2,3,4,7} and Z = {2,4,6,9}, then what is X U (Y N Z)? а. {2,4) b. {4} c.…

A:

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: Find the sets A and B if A -B= {1, 4, 7, 11}, B-A={2, 20}, and ANB= {3, 5,19}

A:

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: Let A= {2, 4, 6}, B={2, 6}, C={4, 6} and D={4, 6, 8}.

A:

Q: en A={x,y},B={1,2,3} and C={m,n}. How many orderd pairs are there for A×B×C

A: To find how many ordered pairs are there for A x B x C

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

A:

Q: Answer parts a and b. a. n(A U B) = 24, n(An B) = 12, and n(B) = 17, find n(A). b. If n(A) = 8, n(B)…

A:

Q: Let A = {−1, 3, 2} and B = {1, 2, 6}. Find A N B. ○ {2} O{-1, O{-1, 2, 3, 6} O{-1, 3} 1, 2, 3, 6}

A: Option AExplanation:Given:A = {-1, 3, 2}B = {1, 2, 6} Solution:A ∩ B denotes the common values…

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: Let A = {1, {b}, {1, b}} a. Place an e or in the blank to make each of the following statements…

A: ● Let x be an element of a set A , then its denoted as x∈A .● If All elements of a set B is present…

Q: Determine a.5 tor each of the following i = (7, -3.5)andb = (-5,11. -2) b) a = (-15.13), 5 = (14,…

A: If a→ = a1 , a2 , … , an and b→ = b1 , b2 , … , bn then  a→·b→ = a1b1 + a2b2 + … + anbn

Q: A W C р 3 a 6.0 g h f B

A:

Q: Let A = and B = . Find the following. а. 2А+B b. || A|| с. А о В

A: Vectors

Q: If a = (2, 4, – 1, 3) then ||-3a|l,= Select one: а. 30 b. -30 c. 27 d. -27

A:

Q: Given the U ={1,2,3,4,5,6,7,8,9,10}; A = {3,4,5,6,7}; B ={1,5,7,9}; C = {3.6,9}; D = {2,4,6,8).

A: Note: The student has made a typing error in set C = {3.6,9}, it should be set C = {3,6,9}. So, we…

Q: a +b+c+1 a + 26 + 2c + 2 Let m(a, b, c) = Set a + 26 + 3c + 4 a + 26 + 3c+d, M = {m(a, b, c) : a, b,…

A: Here we find value of d

Q: If A= (2) B= (35) C= (E) 98 A+B+C = () Then the values of D and E are: 89 O a. 4 and 2 respectively…

A:

Q: Let A and B be sets. The symmetric difference of A and B is Select one: a. (A − B) n (B − A) - - O…

A: Given: Two sets A and B. We have to write the symmetric difference of A and B.

Q: Simplify 1 а. Sp 20(1+p 2² +4p 4+4µ‹ P‡ 0, - 1 1 4. P≠ 0, -1 1+p/P= 0, -1 2+4 6 b. О ь. Oc. p² +1 с.

A: Topic:- simplification

Q: a. What is P(A|B)? P(A and B)/P(B)=. b. What is P(B|A)? P(A and B)/P(A)= Are A and B independent? C.…

A: a) The required probability is calculated as follows: P(A|B) = P(A and B)/P(B)             =…

Q: find a formula for a, for the arithmetic sequence.

A:

Q: Given A={x,y},B={1,2,3,} and C={m,n}. How many ordered pairs are there for AXBXC

A: Elements of A×B are the ordered pairs of the form  A×B=x, y | x∈A, y∈B Given : A=x, y, B=1, 2, 3,…