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set builder notation

D = {5, 10,15,20,...} Express each set in set builder notation.

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Feb 21, 2011
Set Builder Notation
by: Staff

The question:

D= {5, 10,15,20,...}

Express each set in set builder notation.

The answer:

D= {5, 10,15,20,...}

Note that slight variations of this format are used by different people

x = number

∈, element of a set

| and : are used interchangeably. Both notations mean “such that”

Set = {number : type of number , conditions}, or

Set = { number | type of number , conditions }

Set D = {x : x=5n, n ∈N}

Sets of Standard Number Types

N = Set of all Natural Numbers
Z = Set of all Integers
Q = Set of all Rational Numbers
A = Set of all algebraic numbers
R = Set of all real numbers
I = Set of all imaginary numbers
C = Set of all complex numbers

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Thanks for writing.


Oct 16, 2015
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Oct 31, 2017
rational numbers NEW
by: Anonymous

how to write the set of rationals numbers in set builder notation form

Jul 04, 2019
elements of the set. NEW
by: Anonymous

M={x|x>6, x is an odd integers}

Mar 06, 2022
Set builder notation NEW
by: Anonymous

List the members of these sets.
(a) {x |x is a real number such that x^2= 2}
(b) {x |x is a positive integer less than 10}
(c) {x |x is the square of an integer and x < 100}
(d) {x |x is an integer such that x2 = 3}

Sep 23, 2022
Getting the set builder notation NEW
by: Anonymous

What is the set builder notation in this given:
Z= {10, 11, 12, ..., 100}

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