5. B and C are subsets of a universal set U such that U= {x:xe Z, 0≤x< 10}, B = {prime numbers <10}, C= {x:xe Z, 1

Q: Write true otherwise false if the pairs of sets are equal,{{1}},{1,{1}}

A: Two sets A and B are equal if A and B  have the same elements.

Q: 5. (a) Let A ={1,2,3,4,5} and B = {2,3,4}. How many sets C' have the property that C C A and BC C…

A: (a) The given set A is as follows. A=1,2,3,4,5 The subsets of A such that B is a subset of it is as…

Q: ) Let u=(,2,3/ 니,5147, 위/이, 10 ), A-(,3,5,9), 8-2,5어) Find the Sets B. 2 7 3. 9. 10 2)B' 3) AnB 4) A…

A: A set is a well defined collection of the objects, these objects are called the elements of the…

Q: 6. The sets A and B are defined as: A = {2, 5, 7} B = {*, +} (a) Express the set A x B in roster…

A:

Q: 1. A₁-[0,4], A2-[1,5), A3= [0.5,3], A4- (1,9] As 2. A₁-[0,4], A₂-[1,5), A3- [0.5,3], A- (1,9] As 3.…

A: Given- Ω=set of all real numbers  A= index set  To identify the generalized union and intersection…

Q: Let U={-5,-4,-3,-2,-1,0,1,2,3,4,5}, A={0,1,2,3,4,5} and B={-4,-2,0,2,4}. Perform the indicated set…

A: The given sets are U=-5,-4,-3,-2,-1,0,1,2,3,4,5,A=0,1,2,3,4,5,B=-4,-2,0,2,4.

Q: Let U = { 14, 15, 16, 17, 18, 19, 20 }, A = { 14, 16, 18, 20 }. Use the roster method to write the…

A:

Q: 3. Let R be the universal set and D = (-7,4], E = (0,8), F = {r: r ≤ 10, r € R} be the subsets of X.…

A:

Q: 2. Let X= [0, 10] be the universal set and A = [1,4], B = (2,8), C = [3, 6) be the subsets of X.…

A:

Q: Let U=(3,4,8,9,10,11,15,18,19), X=(4,9,11,18), Y = {4,8,9,10,11), and Z=(3,4,8,18,19). List the…

A:

Q: Let R, S, T be subsets of the universal set U such that n(U) = 64, n(R U S U T) = 45, n(R) = 22,…

A: We will draw a Venn diagram using the given information: n(U) = 64, n(R U S U T) = 45, n(R) = 22,…

Q: What is (A∪B)c where A={5,11,3,8,9} , B={99,5,11,2,4} and Universal Set…

A:

Q: Define the following sets: A=(1,3,7,9,10) 6-(2.5.7.8.9.10) C = (0,1.3.10) D=(2,4,6,8,10) E=xxis a…

A: Natural numbers do not include negative numbers.

Q: Suppose A={-1, 0, 4}.Find a set B such that A is equivalent to B.

A: Two sets A and B are said to be equivalent to each other if both the sets A and B have same number…

Q: Let X = {1, 2, 3, 4, 5} and Y = {7, 11, 13} %D are two sets. find R = {(x, y): x EX and * y EY and…

A:

Q: Determine whether each of these pairs of set are equal 1 (5,6,7,8,9,10) (1,2,3,3,4,4) = 2.…

A: We know that two sets A and B can be equal only if each element of set A is also the element of the…

Q: *· Given a set (x, x+3, x+6, x+9, x+12} where xE2*, show there exists at minimum 1 of the numbers in…

A: Given set is x,x+3,x+6,x+9,x+12 where x∈ℤ+ The objective is to show that there exists at minimum 1…

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

A:

Q: 1. Show that 2 is a primitive root modulo 13. 2. For each element a in T, find the index of a mod 13…

A: T=1,2,3,4,5,6,7,8,9,10,11,12

Q: U=(4,5,6,7,8,9,10,11,12,13,14,15) U is the Universal set. A={x]x is a natural number and 9sx<14}…

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: 13. consider the following sets: U={-5,-4,-3,-2,-1,0,1,2,3,4,5}; A={x: x^2=25} ;B={-5,0,1,2,3,4,5};…

A: Given that U=-5,-4,-3,-2,-1,0,1,2,3,4,5 A=x:x2=25 B=-5,0,1,2,3,4,5 C=x:x2-5x+6=0 We have to find A∩B

Q: Let's define 5 sets as follows: A = {x,y, z} B = {p,q} C = {(x,p)} D = {x,p} E = {z} List the…

A:

Q: The difference of two sets, A - B, is defined as the set containing all elements of A except those…

A: U={1,2,3,4,5,6,7,8,9} A={3,5,9} B={2,4,6,7,8,9} A-B=A∩B' Therefore, first find B'=?