9. Let A = {0,2} and В 3 {3, 5, 7}. Use the set-roster notation to write each of the following sets, and indicate the number of elements in each set: (a) Ax A = |A x A| = (b) Ах В — |A x B| = (с) ВхА— |B × A| =

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: 7. Rewrite the set A = {..., –27,–17, –7,3, 13, 23, 33, ...} using set builder notation. %3|

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: 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: Use A={4, 5, 6, 8, 9} and B={2, 3, 6, 8} to find the set A (U this is upside down) B

A:

Q: 2. Let A = {1, 2, 4, 8, 16, 32) and B = {1, 2, 3, 4, 5). Determine the following sets: AnB B\A • Bx…

A:

Q: Find the union of the sets {1, 3, 7, 8} ∪ {2, 3, 8}.

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: Find n(A) for the following set: b) A = { {0}, {1,2}, {3,4,5} }

A: Consider the given set A = {{0}, {1,2}, {3,4,5}}.

Q: list all the subsets of  {1,2,∅}   and {{R}} R= real number

A: Number of subsets of a set with n elements is 2^n

Q: Consider the sets (2,4, 7,0, 6, 13} and {3, 9, 10, 8). Always starting from these sets, answer each…

A: 1.When the UNION(7,9) is performed find(7) and find(9) is performed. Then the parent of 7 will be 2…

Q: Let set A={-6, -12/4, -5/8, 3,0, z}. List all the elements of A that belongs each set. Natural…

A:

Q: Let  U = {7, 8, 9, 10, 11, 12, 13, 14, 15, 16},   A = {7, 9, 11, 13, 15},   B = {8, 10, 12, 14,…

A: Given the universal set is U=7, 8, 9, 10, 11, 12, 13, 14, 15, 16. The sets A, B and C are as…

Q: Write each set in the indicated form. If you need to use "..." to indicate a pattern, make sure to…

A:

Q: Let D = {b, a, c, k}, E = {t, a, s, k}, F = {b, a, t, h}. Using these sets, find the following: F ^c…

A:

Q: Let U = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, A = {5, 7, 9, 11, 13}, B = {6, 8, 10, 12, 14}, and C…

A:

Q: How do you identify sets

A: The objective is to write how to identify sets.

Q: List down the elements of the following sets {x ∈ ℝ : x2 + 5x = -6}

A: Explanation of the answer is as follows

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

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

Q: Write the set using roster notation: {xIx ∈N and x >24} a. {xIx is a natural number less than 24}…

A: We can write the set in roaster form as below

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

A: Set Question

Q: Let A=[-1,7[,8={-1,3.10,12} and C={7}. Then (A-B) UC=

A: Given that A={-1,7} B={3,7,10,13} C={7}

Q: Consider the following sets: Express each set below using the roster method. Write all elements in…

A: AnswersB ∩ A = {3,5}(B ∩ A) - C = { }=ϕC - (B ∩ A) = {4,6,7}Explanation:(1)B intersection A means…

Q: Let A = {0, 1,6, 8, 13} and B = {1, 6, 13}. How many sets C have the property that CCA and BCC.

A:

Q: Write the resulting set using the listing method {4,6,8} intersect {3,5}

A: We can write the resulting set using the listing method as below.

Q: (5x:xcZ,12xl 8}

A: The set of all real numbers is defined as Z. Hence, Z = {……, –3, –2, –1, 0 , 1, 2, 3, ….}.

Q: 6. Determine. 2r - 3x 4x SET A.

A: I have stated the used formula in the solution

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.