3. Let M and N be nonempty set such that M = N, then |M| = |N|. %3D

Q: Q14D. Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C = {x…

A:

Q: d) Give a recursive definition of the sequence {a„}, n = 1, 2, 3... %3D n if a,= 2 + 1; and a15 e)…

A: d)  Here, given that an=2+1=3 So, for all n, an=3 which is the recursive definition.

Q: Which of the following sets spans R³? {(0,1,-1)} None of these O {(0,1,-1).(0,0,0)} O…

A:

Q: 4) Let A and B are two sets as given below, show that A = B. A = {m EZ| m = 2a for some integer a}…

A: The given sets are:A=m∈ℤ m=2a for some integer aB=n∈ℤn=2b-2 for some integer bWe have to show that…

Q: Let W = {[ W is not 2a 46 : a, b ER ». Determine whether W is a subspace of R³. a subspace of R³…

A:

Q: Q14B. Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C = {x…

A:

Q: II. Let Q-set of all real numbers, A-index set. Identify the generalized union and intersection of…

A:

Q: d) The set E = (-1,0) U (0, 1] is an open set. %3D

A: Given set is E = (-1, 0) ∪ (0, 1]

Q: 2. Express the set using the roster method. (x | XEN and xs 5) Choose the correct answer below. O A.…

A: In given question, we can define the set using roaster method.

Q: 2. Let S = {0, 1, 2, 3, 4} and T = {0, 2, 4). (a) How many ordered pairs are in S × T? T × S? (b)…

A: 12. Given that,                    S=0, 1, 2, 3, 4  & T=0, 2, 4.

Q: Let S = {-3,-1,0, , 1, v3, 3, 9}. Which subset of 1 S contains the elements that satisfy the…

A: Given- S=-3,-1,0,13,1,3,3,9 To Find- The subset of S that contains the elements that satisfy the…

Q: (1.) Let T = {1, 2, 3, 4, 5, 6, 7, 8, 9}.  Suppose five integers are chosen from T. Show that it is…

A: 1) Let us choose a set = {1,2,3,4,5}  In this set, two maximum numbers are 4 and 5. Sum of 4 and 5…

Q: Match each item in the left column with the MOST appropriate choice in the right column. - (1, 2, 3,…

A:

Q: Let a = (5,-2, 9). Find ||10||

A:

Q: 39. Let A = {1, 2, 3, 4, 5} and B = {0, 2, 4, 6, 8, 10}. Write A UB using the listing method. AUB =…

A: From the given information, 39. A = {1, 2, 3, 4, 5} B = {0, 2, 4, 6, 8, 10}

Q: Prove that if A, B.C are subsets of a universal set U, then AU(BnC) C (AUB)n(AUC)

A: use the basic property of subset and set theory.

Q: Which of the following sets spans R°? None of these {(-3,0,2)} O {(-3,0,2),(5,1,0),(0,1,1)}…

A: The solution is given as

Q: 3A, B E {sets} such that A CBAA= B.

A: To check whether the given statement true or false: ∃A,B∈sets such that A⊆B∧A=B

Q: If X and Y are denumerable sets, then X - Y is countable.

A: Given that X and Y are denumerable sets. Definition: A set is denumerable if it can be put into a…

Q: Write out the elements of the set 2X where X= = {1,{0}, Ø, {2,3}}.

A: