2. a. List all 3-combinations for the set {x1, x2, x3, X4, Xs}. Deduce the value of (,). b. List all unordered selections of two elements from the set {x1, x2, x3, X4, Xs, X6}. Deduce the value of ().

Q: 9. What is the set-builder equivalent of {0, 1, 2 }? 10. What is the set-roster equivalent of {x E…

A: Set: Set is any collection of objects or elements which may be numerical or non-numerical. Set…

Q: List all the subsets of the set                   { –1, 0, 1 }.

A: All subsets of {-1,0,1} is:

Q: An architect designing a parking lot has a row 62.0 m wide to divide into spaces for compact cars…

A: We need to formulate a system of linear equations using the scenario. We also need to solve the…

Q: Suppose X is a set with 84 elements that is partitioned into four subsets: X1, X2, X3, and X4. If X1…

A: Given total number of elements = 84 Let  number of elements in X4 be a As X1 has twice as many…

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: For the set B = {a,b, c, d, e} list all of the subsets having exactly two elements. O{b, c, d} O{a,…

A: We need to select the subsets of the set B={a, b, c, d, e} having exactly two elements (cardinality…

Q: Let the letters G and B denote a girl birth and a boy birth, respectively. For a family of three…

A: Let the letters G and B denote a girl birth and a boy birth, respectively. Given that a family has…

Q: S. is Setl

A: A small block slides without friction down an inclined plane starting from rest. Let sn be the…

Q: H={b ∣ b ∈ N and 124 < b ≤ 130 } H= { b ∣ b ∈ ℕ and 124 < b ≤ 130} Use the roster method to list…

A: Given the set is  H= { b ∣ b ∈ ℕ and 124 &lt; b ≤ 130} To write the roster method to list the…

Q: If U is the set of all multiples of 3 less than 20, and M={3,12,18}, find Mc (the complement of M).…

A:

Q: d) Suppose X = {1,2, 3} and Y = {5,6}. The number of elements of the set P(X× Y) =

A: Elements in X = 3. Elements in Y = 2 Elements in X × Y = 3 × 2 = 6

Q: Calculate the number of subsets and the number of proper subsets for the given set. {x|x€N and…

A:

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: about the three subsets X1, X2, and X3 that partition a set X, except assume that the number of…

A: Let there are x elements in X2. So there are 6x elements in X1. There are 3x elements in X3. Given…

Q: Given R={(a, d), (a, c), (b, d), (c, a), (d, b), (e, d)} on the set {a,b,c,d,e}. Find R-1 А. {(а,…

A: We have given a relation R and we have to find R-1 .

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: n to show the set.

A: Part which in E and D or not in B   Part which is in A and B and C

Q: Let A = {small, medium, large}, B = {red, magenta}, and C = {triangle, square}. List the elements of…

A: Solution: The objective is to list the all elements in BxC

Q: List all subsets of the given set. (α, β, Γ, Δ}

A:

Q: Find the complement of the set given that  U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.  (Enter…

A: We have to find the complement of the set {x | x∈N and x &lt; 9} given that U = {0, 1, 2, 3, 4, 5,…

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

A:

Q: Find the number of subsets of the given set. (x|xEN and 7<x<12}

A:

Q: Which of the following sets spans R3 ? Os = {(2, -1, 4), (3, -3, 5), (1, 1, 3)} S= {(2, -1, 4), (3,…

A:

Q: . List the elements of the set in Roaster Method. {x|x W, x < 8}

A: Given A set in set-builder form is x|x∈W, x≤8 Here, the given set includes the all whole numbers…

Q: Determine whether or not the set {(2, 21, 0), (1, 2, 5), (7, 21, 5)} islinearly independent over R.

A:

Q: Select the regions that correspond to the set AN BNC°.

A:

Q: Find the complement of the set given that U={x xEI and -3<x<9}. (Enter your answers as a…

A:

Q: Find the complement of the set given that U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. (Enter your answers as…

A: First we write {x | x N and x &lt; 6} in roster form. Note: N=set of natural numbers

Q: 3. Is the set of all brown dogs a subset of the set of all dogs? Why or why not? 4. Is the set of…

A: We need to find the solutions to the given 3 problems. Let's begin.

Q: Draw the Hasse diagram for R.

A:

Q: If X and Y are two sets such that X has 30 elements and X ∪ Y has 50 elements and X ∩ Y has 8…

A: We are given: X has 30 elements and X ∪ Y has 50 elements and X ∩ Y has 8 elements We need to find:…

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

A:

Q: Which of the following sets of ordered pairs represen A. { (0,2), (1, 3), (2, 4), (3, 5), (4, 6) }…

A: Function: A function is a relation for which each value from the set the first component of the…

Q: In an analysis of two attributes, if: N=160, (A)= 96 and (B) = 50, %3D find the frequencies of the…

A:

Q: Specify the set A by listing its elements, where A = {x: x is a whole number less than 100 and…

A: As per out guidelines we can answer only 1 question. Please repost the remaining questions…

Q: Let X = {a, b, c}, Y = {a, c, b}, and Z = {a, b, b, c, c, c}. What are the elements of X, Y, and Z?…

A: It is known that the ordering of the elements in a set does not matter. If the elements of both sets…

Q: Express the set in roster form. B= {x| xEN and x is even) Choose the correct answer below. O A. B=…

A: Please refer the attached image for complete solution.

Q: Which of the following diagram represent of the set notation A U (Bn C)? a. с. b. d.

A:

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: C. Think of a set with m + n elements as composed of two parts, one with m elements and the other…

A: m+n elements as composed of two parts.

Q: Use the roster method to write the given set below: {x∈Z|x=−x} {x∈N| x<10 and x is divisible by 3}

A: Given sets in Set builder form are: {x∈Z| x=-x}{x∈N| x&lt;10 and x is divisible by 3

Q: Make sure that the set {(-1,1), (3, 0), (2, 5)} generate R4

A:

Q: 1. Find the union C1U C2 and the intersection C1NC2 of the two sets C1 and C2, where (a) C1 = {0,1,…

A:

Q: se the roster method to write the set A'.

A: Here use definition of complement of set

Q: Suppose XX is a set with 144 elements that is partitioned into four subsets: X1, X2, X3, and X4. If…

A: To determine the number of elements in each subset in the partition.

Q: If the set A has 3 elements and the set B = {3, 4, 5}, then find the number ofelements in (A×B).

A: Given that n(A)=3 From B = {3, 4, 5} we see that n(B)=3

Q: Determine whether the set S = {−2x + x2, 8 + x3, −x2 + x3, −4 + x2} spans P3.

A: Given a set, S=-2x+x2,8+x3,-x2+x3,-4+x2 We need to determine whether S spans P3.

Q: 4. Suppose you wanted ; –) and :0 to be the elements of a set S. (a) How could you indicate this? In…

A: We want ;-) and :o to be the elements of a set S.