x + 6|, if x < -1 f(x) = x² 2? — 6х + 9 - if x > - 1 x² – 3x

Q: What set is in another class of infinity that is bigger than R?

A:

Q: Express the following sets in the simplest way possible. If needed, use 'set builder notations'. Do…

A:

Q: For the set ?={−3,0,57,−8‾√,2.314520968724609....,14}A={−3,0,57,−8,2.314520968724609....,14}.…

A: Given :A=-3,0,57,-8,2.314520968724609...,14To indentify those that are…

Q: Can I use symbols other than braces when writing sets using the roster method?

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Q: show that 12ª> |A/ for each set A

A: The objective is to prove |2A|&gt;|A| for each set A.

Q: Provide a counter example that infinity intersection of open set is open

A:

Q: In regular language, describe the following set: ?={x∣x=2n+1,n ∈ N}   2.  Convert the following…

A: We have to describe the set builder set in regular language in question (1) And  We need to write…

Q: (a) An (B-C)= (A-C) nB (b) A (B-C) = (A - B) - C (c) (A-B) U (B-A) = (ANB) (d) (A-B)U(B-A) = AUB (e)…

A: Given that A, B and C be sets

Q: 2. Determine whether the statement(s) below is/are true or false. Modify each false statement to…

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Q: Please help me with these questions. I am not understanding what to do

A: The given  set .The objective is to prove this statement.Note: Since you have posted multiple…

Q: what is a proper space

A:

Q: A palindromic number is a natural number whose value does not change if its digits are reversed.…

A: What is Palindromic Number: A number that retains its value when its digits are reversed is called a…

Q: Write the set of points from -2 to 2 but excluding 0 and 2 as a union of intervals:

A: To Find: Set points from -2 to 2 excluding 0 &amp; 2 as union of intervals.

Q: The boundary of a set is equal to the boundary of the complement) True or false

A: (The boundary of a set is equal to the boundary of the complement) True or false

Q: Explain with an example of a topological space which is singleton that is open but not close and…

A: Example in refer of not  open but closed .Take , Here A is singletone set which is closed but not…

Q: For each set of three lengths, determine if they can be the side lengths of a triangle. Lengths Can…

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Q: Express the numbers shaded on the graph as an inequality, set notation, and int -1 Inequality: Set…

A: we have to write the following

Q: Given the following: U = {x|x N and x < 25} W = {x|x e N and 5 < x < 15} X = {x|x Y = {x|x N and 20…

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Q: Differentiate equal and equivalent, finite and infinite, denumerable and non-denumerable, countable…

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Q: For which spaces ++ is it true that covery single ton set is closed

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Q: How many different size of infinity are there? How does it relate to one-to-one correspondence?

A: There are actually many different sizes or levels of infinity; some infinite sets are vastly larger…

Q: The location of the letter F shows that F represents an object that is Нарру Bulls F in the happy…

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Q: numbers

A: We have to choose the correct option according to the given information

Q: Determine the values of the following set expressions. Ø × {{0}} P({0, {0}}) {0} × {0, {0}} P({{0}})…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: C. Translate the set builder notation into words 6. {X€ Z|-6 s x s 10} 7. {X€N|2x 2 5}

A: We have to translate the given set builder notation in to words.

Q: 11. Show that the set of real numbers with the usual topology is not homeomorphic to the R set of…

A:

Q: What is the relationship between finite sets and countable sets in the context of advanced…

A: Finite Set: A set S is said to be finite if it has finite number of elements .Countable Set: A set…