Use set-builder notation to write the following set. {1, 2, 3, 4, 5, ...} O {x | x E I} {x | x E R} O {x | x E W} none of these O {x | x E N}

Q: c. Which set is equal to (B\A)¢? d. What is the cardinality of a countably infinite set?

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Q: Which of the following sets spans R? O {(3,0,-2)} O (3,0,-2),(0,0,0)} O ((3,0,-2).(5,1,0).(0,-1,1)}…

A:

Q: S= {.., -2, -1, 0, 1, 2, 3, 4, 5} What is S, expressed in set builder notation? A S= {xEZ|-5 <x<5} B…

A: Given S =.......,-2,-1, 0, 1, 2, 3, 4, 5

Q: Determine whether the set S = {1, x², 3 + x²} spans P2. O S spans P2. O s does not span P2.

A: Consider the given set S. S=1,x2,3+x2 Now, make the matrix from the given set. 103000011

Q: Prove or disprove: if x is in set B and x > inf(B), then x/2  is in set B.

A: Let B= The set of natural number then  InfB=1 Let x=3 Since x∈B &amp; x&gt;infB.

Q: Let The set U={1,2,3,4,5,6}, the set A={1,2,3}, and the set B={2,3,5}. Write down the numbers that…

A: Note: According to the guidelines of Bartleby, we will only solve first three parts for you. Kindly…

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

A: First we write {x | x W and x &lt; 4} in roster form.  Note: W=whole number.

Q: Express the set in roster form. B = (x | XEN and x is a multiple of 7)

A: For given set B we have to write it in roster form.

Q: ze² = πi) 4 Verify that i is

A:

Q: Which of the following set is empty a. {x: x = x} b. { x : x != x 2 } c. { x : x ! = x } d. {x:…

A: Empty set:            The empty set is the unique set having no elements. and its cardinality is…

Q: {x|x<2} is (-00,2) in set notation form. O True

A: Given that: {x|x&lt;2}

Q: List all of the elements in the following set: {x € Z | 3|x and |x| < 10}.

A:

Q: Prove T={ …,-56,-42,-28,-14,0,14,28,42,…} is a countable set

A: We have to prove the following -   T={ …,-56,-42,-28,-14,0,14,28,42,…} is a countable set.

Q: Find

A: First we write U as universal set. Then find complement.

Q: Prove T = { ... , −56, −42, −28, −14, 0, 14, 28, 42, ... } is a countable set

A:

Q: Let A = {31, 33, 35, 37, 39}, which of these is a correct set builder notation for A? There may be…

A: This question is based on sets and relation.

Q: | Let A = P({1,{1}}}, B = P({0,1}), and C = P({0,1}) where P(S) is the power set of S. Find the…

A: (1){{0},{0,1}}(2){ϕ,{1},{{1}},{1,{1}},{0},{0,1}}(3)ϕ(4) Refer to explanation part below.   If you…

Q: Use set-builder notation to write the following set {3, 6, 9} O {x | x is a multiple of 3 and 3 < x…

A: Given set is 3,6,9.

Q: et A = {3x|x e N and x < 5}

A: SOLUTION: The given set is A={3x | x ∈N and x &lt;5} .

Q: Determine whether the set S = {1, x², 9 + x²} spans P2. %3D O S spans P2. O s does not

A: Introduction: Vectors' span, It is the collection of all linear combinations of a number of vectors.…