Express the set in set-builder notation {24, 32, 40, 48,....,88}

Q: 7. Rewrite the set A = {..., –27,–17, –7,3, 13, 23, 33, ...} using set builder notation. %3|

A:

Q: What is set-builder notation?

A: Definition of set-builder notation:

Q: Specify the set B in set-builder form by giving a written description of its elements, where…

A: given B={0,1,4,9,16,25} B=0,12,22,32,42,52

Q: What is a set?

A: Definition of the set:

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

A:

Q: Define Open set ?

A:

Q: The set of elements that are members of set A or set B or of both sets is called the --------------…

A: The union of two sets is composed of elements of the same two sets.

Q: The set of elements common to both set A and set B is called ----------------- the of sets A and B,…

A: Sets are basically a collection of well defined and distinct objects. These objects can be anything,…

Q: Give 1 example of set and convert that into symbolic form.

A: Example: the set of all positive integers less than 10  A=x∈ℤ: 0<x<10

Q: 4. What are the operation of sets and its set builder notation.

A: Explanation of the answer is as follows

Q: What is the other name for the “rule method” in describing a set?  (A) roster (B) defining property…

A:

Q: Let S be a set containing 700 elements. which is greater, the number of subsets of S having 400…

A: Let S be a set containing 700 elements. We have to justify, Which is greater, the number of subsets…

Q: The set of elements in (-, 9) or (-, 12) or in both sets is .

A: The sets are (-∞,9) , (-∞,12)

Q: Find the number of subsets that can be formed from a set containing 10 elements.

A:

Q: Consider the set {x|x less than or equal to -3} (in set-builder notation)

A:

Q: Use set-builder notation to write the set: Positive integers less than 8

A: Set builder form is of the type {type of element | rule for elements}

Q: Express the set using the roster method. the set of natural numbers less than or equal to 6.

A: Given: the set of natural numbers less than or equal to 6. To express: The given set in roster…

Q: Specify the set by roster. {Distinct letters in the word television

A: Given data: {Distinct letters in the word television}   To find: Specify the set by roster.

Q: If a set contains 4 elements then its power set will contain?

A: Here  Set Contains 4 Elements So For n elements  It's Number of powerset =(2^n)

Q: Explain what is an empty set. Give relevant example along with.

A: Empty set

Q: Explain what is a finite set. Give relevant example along with.

A:

Q: Using the fact that "a countable union of countable sets is countable", show that the statement that…

A: Please see the below picture for detailed solution.

Q: Explain what is an infinite set. Give relevant example along with.

A:

Q: Describe a set in terms of A and B (using set notation) which has the following Venn diagram. (image…

A: the set notation for the given diagram is given below:

Q: why Ua equals to empty set

A:

Q: come up with a (VERY) brief description of the set {2, 4, 6, 8} using set-builder notation.

A:

Q: How can the union and intersection of n sets that all are subsets of the universal set U be found…

A:

Q: define sets.

A: A set is a collection of well defined objects.

Q: 1/27, 1/9,1/3,1,3,9,27,...} write set in set builder notation

A:

Q: How would you write the set Q({∅,{∅,{∅}}}) in list notation?

A:

Q: two example of open set in R, closed set in R, and the closure of that set

A:

Q: What is meant by Union of sets?

A:

Q: Denote the set in set-builder form {6, 12, 18, ….66}

A: The objective is to denote the set {6, 12, 18, ….66} in set-builder form.

Q: A set with 6 elements has —- subsets

A:

Q: Is the set (9, 20] under usual order ≤ well-ordered? Why?

A: We need to determine the set (9 , 20] under usual order is well - ordered or not. We know that , a…

Q: determine the number of subsets of a set with 21 elements

A: To determine the number of subsets of a set with 21 elements

Q: Write down the non-empty proper subset of the set {a,b,c}. Make sure to use correct notation…

A: Consider the given set A = {a, b, c}. A proper subset of a set A is a subset of A that is not equal…

Q: How many subsets is obtained from a set with 5 elements?

A: Given n=5

Q: List the elements of the set in roster notation. (Enter EMPTY or ∅ for the empty set.) {x | 3 − x =…

A: x| 3-x=6 and x is an integer3-x=6 ⇒3-6=x⇒x=-3

Q: Choose a real world example that makes use of a Venn diagram that involves at least three sets.…

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Q: Prove that the smallest member of a set, if exits, is the greatest lower bound of the set. Correct…

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Q: Prove that the greatest member of a set, if exits, is the least upper bound of the set,

A:

Q: A set contains fourteen elements. How many subsets can be formed from this​ set?

A: Given that A set contains fourteen elements. To find How many subsets can be formed from this​ set

Q: Explain the idea of cardinality. When is a set denumerable? Show that the union of two denumerable…

A:

Q: What is the cardinality of the set {1,2,3,4,3} ?

A:

Q: Explain what is an equal and unequal set. Give relevant example along with.

A: Two sets are called to be equal sets when they contains same elements , although order doesn't…

Q: 2. Write the set of positive odd integers in set-builder notation.

A:

Q: Express the following set in set-builder notation. B=(13, 14, 15, 16, 17, 18, 19, 20)

A:

Q: Describe the roster method for representing a set.

A: We have to Describe the roster method for representing a set.

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.