sider the Set Q of rational numbers, and let =a+b-ab. Then (Q,*) is a ect one: a. semigroup b. none of these c. group d. subgroup

Q: 8.) What is the distance between an airplane flying at 120 feet above sea level and a turtle…

A: We find the distance between an airplane flying at 120 feet above sea level and a turtle swimming at…

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

A: We will solve the following

Q: Determine which of the options below appropriately demonstrates that Q is not closed under the…

A: Consider the given information: Here to demonstrates that ℚc is not not closed under the operation…

Q: given n (A⋂B) = 18, n (A) = 3, n (B) and n (A⋂B) = 2.Find n (B) and the number of subsets of set B

A: Solution

Q: Let A = {small, medium, large}, B = {yellow, magenta), and C = {triangle, round}. List the elements…

A: This question is about relation

Q: et D=(4,7,9}, E=(4,6,7,8) and F = {3,5,6,7,9}. ist the elements in the set (DUE) NF.

A: Let D={4,7,9} E={4,6,7,8} and F={3,5,6,7,9}.

Q: Out of 56 students, 24 pick apples as their favorite snack, 33 pick M&M's as their favorite snack,…

A:

Q: . Let n =12,612,6x0,725,725 . a. If 9 | n, then x = ________ . b. If 11| n, then x = ________.

A: (a) We know 9 | n iff the sum of the digits of n is divisible by 9.     n = 126126x0725725    =>…

Q: Which set below contains the integer zero? Group of answer choices Z Z+ Q+ N+

A: We know Z is set of all integers (Z={.....-1, 0, 1, 2, .......}) hence it contains 0 Z+ is set of…

Q: Select all of the regions included in the following expression.  Use the image below for reference.…

A: We have to draw diagram for the below A ∪ B'

Q: Z/mZz Zm

A: We need to prove that Z / mZ is isomorphic to Zm .

Q: Let a, b and c be integers. Prove that if a does not divide b and a|(b+c), then a does not divide c

A: Let a, b and c be integers.

Q: Let A be the set of odd integers, and let B be the set of positive integers less than 10. Find An B…

A:

Q: Let A = {small, medium, large}, B = {blue, magenta}, and C = {pentagonal, round}. List the elements…

A:

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

A:

Q: . How many relations are there on the set S = {2, 4, 6}? 892 512 none of these 1024

A:

Q: -275 2. Let A 013 -135 Find the adjoint of A.

A:

Q: b. How many elements are in the set {a, {a, b}, {a} }? C. For each positive integer x, let A1` =…

A: Use the definition of set and its elements to solve this problem as in next step.

Q: Determine the identity element of the set N={1,2,3,..} of positive integers with addition.

A:

Q: Р C = - = {₁²₁² +² -| 5 ≤ p ≤ 6 and − 1 ≤ q ≤ 1, p, q € N +1

A: Given: C=pq2+1 | 5≤p≤6 and -1≤q≤1, p,q∈ℕ we have to find the elements in the set C

Q: How many integers in the set {1,2, ..., 10°} are divisible by 495 and not by 75?

A:

Q: ) Check all the numbers that are divisors. a.) 288

A: see 2nd step

Q: find z trans foyms of folleing -an simwn ĭ

A:

Q: d = (a, b, c).

A:

Q: Recall that each permutation can be written as a product of disjoint cycles. How many permutations…

A:

Q: is possible equation of classes:  Select one or more than one:  a.

A:

Q: Give an example of a set of numbers that is: a. Closed under both addition and multiplication. b.…

A: a. Set of real numbers b. Set of odd natural  numbers c. Set of irrational numbers

Q: (2b) Let A and B be sets. Prove that A – B is disjoint from A n BC LA O BE

A: The set A∩B is defined as A∩B=x|x∈A and x∈B The set A-B is defined as A-B=x|x∈A and x∉B Two sets are…

Q: Which of the following elements would NOT be an element of {4, 8, 12, . . . } 28? 30? 32? or…

A:

Q: Draw all distinct 4-animals composed of equilateral triangles, squares or regular hexagons that have…

A: The objective is to find all four animals from the given graph.

Q: For the poset, R = ( { 1, 2, 3, 5, 10, 15, 20, 25, 30, 35, 50, 70 }, | ):   Draw the Hasse digrams…

A:

Q: 2c.) Draw a Venn diagram for: x•y•z

A: By using basic probability venn diagram.  Make a venn diagram of X. Y. Z

Q: If d is g(a, b) and c is another natural number which also divides both a and b. Then c also divides…

A: Given that c divides a and b ,d belongs to( a ,b) so assume a,b are 4,8 and c is 2 and d is 6

Q: 1. List a pair of zero divisors of (M₂(Z), +, ×):

A:

Q: Let A = {small, medium, large}, B = {red, black}, and C = {pentagonal, round}. List the elements of…

A: Given : A =small, medium, largeB = red, blackC = pentagonal, round

Q: H.w ) find the generated af: ty, 7s7z and Zg

A:

Q: Let A = {1,2,3, 4} and B = {a, b, c, d, e}. How many different relations are there from A to B. Why?

A: Given A=1,2,3,4B=a,b,c,d,e

Q: "x is in A"  and "x is in B"

A: " x is in A intersection B" is same as " x is in A" and " x is in B".  For "x is in A union B" is…