21. Suppose U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set and T = {1, 3, 5, 7, 9}. %3D What is T'?

Q: 2. Let S be the set [9] = {1.2..9}. 1 (D) How many derangements of S have 9 in the 2nd position and…

A: We have the set 9=1,2,...,9 We need to find the number of derangements. There are 9 places to fill…

Q: The set S = {x | x is a continent}. A. S = {N. America, S. America, Europe, Asia, Africa, Australia,…

A: Given:  ( The set S = {x | x is a continent}  Then write the set S

Q: 6. Suppose that A = {2, 4, 6}, B = {2, 6}, C = {4, 6}, and D = {4, 6, 8}. Determine which of these…

A: Solve the above question.

Q: d) Let X,Y, Z be sets. Calculate |XUYUZ if |X| = 50, [Y|= 90, |Z| = 71, |XnY| = 8, |Xn Z| = 9, |Yn…

A:

Q: Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8} and E = (0, 2, 4, 6, 8} and P = {2, 3, 5, 7}, then the…

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: 16. Suppose U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set What is T' ?

A: Given that  U = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} T = { 1, 3, 5, 7, 9 } U is the universal set and…

Q: Show that A = {2,3,4,5} is a proper subset of B = {2,4,5,6,3}

A: A set X will be called a subset of Y, if each elements of X belongs to the set Y . A set X will be…

Q: If the universal set contains {1,2,3,...,15), X = {1,3,7,9,11,13), Y = {5,6,7,8,9), and Z = {8, 10,…

A:

Q: Last week, there were several types of animals at a local animal shelter. Let U be the set of the…

A: The intersection of events is the common elements of those events. The complement of an event is all…

Q: Suppose R and S are relations on {a, b, c, d}, where R = {(a, b), (a, d), (b, c), (c, c), (d, a)}…

A: we have given relations R and S on {a, b, c, d} and we need to find composition R∘S

Q: Consider the set M = {m,a,{t,h},e,m,{a,t,î},c,s}. 1. What is the cardinality of M?

A: M = { m,a, {f,h} , e,m, {a1, i} ,e ,s}1. Carbimalty of M = 72. No, {m,a,f,h} is not a properSubser…

Q: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB be subsets of SS, where: Set…

A: Given universal set is, S={1,2,3,...,18,19,20} and the sets A&B are, A={1,4,6,11,12,14,18,19,20}…

Q: Construct a Venn diagram illustrating the sets below. U={1, 2, 3, 4, 5, 6, 7, 8} Y={1,4, 6}…

A: Given U=1 , 2 , 3 , 4 , 4,  5 , 6 , 7 , 8  Y=1, 4 , 6Z=2 , 4 , 5 , 6clearly Y∩Z=  4

Q: Let SS be the universal set, where: S={1,2,3,...,28,29,30}S={1,2,3,...,28,29,30} Let sets AA and BB…

A: Given a universal set : S={1,2,3,...,28,29,30} Given subsets A and B of S :…

Q: Let SS be the universal set, where: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB…

A: Given, Universal set S=1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 Two subsets A and B are…

Q: Let R = Zg, and let N = R³. Determine whether or not X = {(4, 5, 4), (4, 5, 2), (2, 2, 3)} is a free…

A: It is given that,  R = ℤ8  and  N = R3. We have to determine that whether the set,  X = 4, 5, 4, 4,…

Q: Suppose your universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, and we have the following subsets…

A: Given, U={1,2,3,4,5,6,7,8,9,10}A={1,3,5,7,9}B={2,3,4,5}C={4,5,8,9}To find:(A∪B')∩C

Q: 14. A set SCR is closed if and only if S'CS.

A:

Q: 3. Suppose that A is the set of sophomores at your school and B is the set of students in discrete…

A:

Q: Let U = {7, 8, 9, 10, 11, 12, 13}, A = {7, 8, 9, 10}, B = {7, 8, 11, 12}, and C = {9, 11, 13}. List…

A: We have to find given sample space.

Q: Let the Universal set be U = (1, 2. . 20)., A= (1,6.11,19) and B = (6, 11, 14, 7) fa-8) (1) = '(A@…

A: Since you have posted multiple questions. I am answering the first one. Please post the question for…

Q: List the elements of set D = { x:x є N, x is a multiple of 5} where N= {1, 2, 3, ...}.

A:

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and S = {x|x >4 and x E even integers}. Find s' O s' = {Ø} O…

A: If S is a set, then complement of set S will contain all the elements in the given universal set…

Q: Consider all subsets of size four of the set {1, 2, ..., 20}. How many of them have a nonempty…

A: Given: It is given that by considering that all the subsets of size four of the set{1,2,....20} The…

Q: Let SS be the universal set, where: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB…

A: S={1,2,3,...,18,19,20} A={2,5,6,8,9,14,16,20} B={2,4,5,6,7,8,14,16,18,19}

Q: 3. Suppose that A is the set of sophomores at your school and B is the set of students in discrete…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Let X = {1,2,3,4} SUCH THAT TX = {4, {2},{1,2},{2,3} , {1, 2, 3},X}: AND Y = {1,3,4} C X, THEN TY =

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Suppose the universe U={1,2,3,4,5,6,7,8,9} and you have two subsets A={1,2,3,4} and B={2,4,6,8}Which…

A: Given the universe U={1,2,3,4,5,6,7,8,9} and the two subsets A={1,2,3,4} and B={2,4,6,8}

Q: 1. Suppose U =N = {1,2,3,.. } is the universal set. Let, A = {1,2,3,4}}, B = { 3,4,5,6,7},…

A:

Q: 11. consider the following sets: U = {-5,-4, -3, -2,-1,0,1,2,3,4,5}, A = {x: x²= 25}, B =…

A: Introduction: If the components of a set can be arranged in perfect agreement with the set of…

Q: Let S be the universal set, where: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB…

A:

Q: Consider the following two sets, A = { 1, 2, 3 } B= {a, b, c } What is Ax B? {(1, a), ( 1, b ), (1,…

A: Given that  A{1,2,3} B={a,b,c) To find A*B

Q: Deter mine al subset relationships, amang the sets {1,2,3, 4? , {2.4,63, {2,4}, {X€NI<<63,Ø

A:

Q: U={1,2,3,4,5,6,7,8,9,10}U={1,2,3,4,5,6,7,8,9,10}, A={3,5,8,9,10}A={3,5,8,9,10}, and…

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

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} be the universal set. Let C = {1, 2, 4, 5, 7, 8, 10} and let…

A: C'=U - C

Q: Let SS be the universal set, where: S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20} Let sets AA and BB…

A: Given that the universal set S=1, 2, 3,..., 18, 19, 20. Consider the subsets A=1, 2, 9, 11, 13, 14,…

Q: Let S = {1,2,3,4}. Determine the set {A € P(S) : |A| = 2 }.

A: Let S = {1, 2, 3, 4}

Q: Consider sets A={1,3,5} and B = {2,4,6}. Find A U B

A: The given sets are A={1,3,5} and B = {2,4,6}. The union of any two sets is the set of all the…

Q: 6. Draw a Venn diagram illustrating the relationships between these sets. 1. Be U's 1, 2, 3, 4, 5,…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 8. Given the set B={2,3,4} such that (a,b) are the two numbers having the same parity therefore R2…

A:

Q: 2. Let S be the set [9]: (1.2.9). (c) List 5 derangements of S having 2 in the 3rd position and 5 in…

A:

Q: a) Consider the set X = {0, 5, 10, 15, . . . , 50}. What is the cardinality of the set P(X)?

A: According to the Bartleby guidelines only one question can be solved at one time , post the…

Q: Let A = {6,7,8} and B = {5,7}. Find A x B. %3D Choose th correct set. O A.…

A:

Q: let Z={X/ 5< X <7}, Y={ X/ O < X < 8} , S={X/ Os X s 11} then y n Z = O {8 ,9,10,11} O (9,10,11} O…

A:

Q: {r, e, v, o, I, u, t, i, o, n}_ _{t, o, I, o, v, e, r, u, i, n} {r, e, v, o, I, u, t, i, o, n} V {t,…

A: Here use definition of proper subset

Q: 1. Suppose A = {5,8,21}, B = {1,5,21,34}, and C = {1,2,21} are subsets of the universal set U =…

A:

Q: Suppose U = N = { 1,2,3,… … } is the universal set. Let,  A = { 1,2,3,4 }, B = { 3,4,5,6,7 }, C = {…

A: The set is calculated using the formula, , where, U is the universal set . The set is calculated…

Q: C. Let S = {(x, y) ERX R: y - x = integer} List of four members of [-3]

A: we need to find (x,y) such that  y-x=-3 where x∈R and y ∈R so some of the possible values of the…

Q: 5. Deduce from (4) that the set {2} 2-: n = 1, 2, 3, ... is closed in R.

A: Given set  S =2 ∪2-1n  :  n=1  2,  3 , . . .

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.