5. Use a floor or a ceiling function to find cardinalities of following sets: a) [{x € Z*]x is multiple of 5 and x 5 622}| = b) [{x € z* \x is multiple of 5 and 235 s x S 622}| = %3D

Q: What are the three types of discontinuities? Give an explicit function and graph form) that contains…

A: Here we have to define the type of discontinuity:-

Q: 8. Let X and Y be sets, and let C and D be any two sets of Y, and suppose that F: X →Y is a…

A:

Q: Find the following cardinalities (Do not list the elements of the sets). A² = A x A, for any set A.)…

A: “Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: 21.) lim √9th -3 h+o h

A: The given limit limn→09+n-3n

Q: 4. Let W be the set of all words in the English language and let L be the set of letters {A, B,…

A:

Q: 6. A relation R on a set X is called a total order if it is antisymmetric, reflexive, transi- tive,…

A:

Q: 7.) -2 (x-2)2

A: Topic = Limits

Q: 3. Use function f(x) = *** to show that Card(R – {5}) = Card(R – {1}) step by step. (Note: Card(A)…

A:

Q: 5. Consider the set B (5, 7]. (a) State without using negative words what it would mean for a number…

A: Given a set B=(5, 7]. We have to tell what it would mean for a number z to fail to be an upper bound…

Q: We have the set of all functions from R to R (f(R,R)). How do I prove that this function's…

A: Kindly refer to Step 2 for the solution.

Q: (A) If A = {x E R: – 1<x< 2}, B = {x € R: 0 < x < 1}, C = {x € R: 1< x < 2}, The sketch the graph of…

A: That's easy, have a look.  Have a great day!!!

Q: Problem 7. A relation is defined on the set of positive integers N by n ~ m if either n divides m or…

A:

Q: For each of the following sets, decide whether it is finite, countable, or uncountable. Explain your…

A: Let  be any set , then

Q: Q1(a): Let A = {1,2, 3} be a given set. Determine • the cardinality of A the power set P(A) the…

A: This question can be solved by using the concepts of set theory.

Q: {e, 9) € R² : 52. {(x,y) € R² : (y-x)(y+x) = 0} (y-x²)(y+x²) = 0}

A:

Q: 6. The Cantor Set is one of the most famous sets in mathematics. To construct the Cantor set, start…

A: Hi! You have posted multiple sub-parts. As per norms, we will be solving only three sub-parts. We…

Q: 5) Given f(x) = V1 -x² , the range is: a) O (-∞; -1] b) O [-1, 1] c) O All real numbers d) O [[0,…

A: The graph is shown below:

Q: 3) In the table below, give the approximatex-coordinate of each discontinuity of the nifty function…

A: Types of discontinuities: 1. Removable discontinuity- This type of discontinuities can be removed by…