Set-Builder Notation - Definition & Examples
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- Writing sets using basic bracket notation is a fine way to describe small sets with only a few elements, as in {1,3,5,7}\{1, 3, 5, 7\}{1,3,5,7} or {Barack Obama,Joe Biden}\{\tex…
By Bryan Gillespie, Jonathan Heller, Alex Federspiel
- Builder Notation Set-builder notation is the mathematical notation for describing a set by stating all the properties that the elements in the set must satisfy. The set is writt…
By Vinitha Ranganeni, Zora Gilbert, Alex Federspiel, Jonathan Heller
- Set builder notation is the conventional format in which mathematicians define a set of elements. We use this notation to simply what we need to write as larger sets can be more…
By Arnaud, Caroline K, Jonathan Heller, Alex Federspiel, Anusha Rahman
- Set-Builder Notation Sometimes, we use roster form to describe sets. When we use roster form (or roster method), we simply list, or enumerate, each element of the set within a s…
By Caroline K, Jonathan Heller, Alex Federspiel, Anusha Rahman
- (Video) An Introduction to Set Builder Notation, Intermediate Algebra, Lesson 28 by Learn Math Tutorials This video by Learn Math Tutorials covers set-builder notation. Summary\…
By Amy Feraco, Jonathan Heller, Alex Federspiel
Problems 19
- Is the following set HHH in builder notation? H={1,2,3,4,5,6,7}H = \{1,2,3,4,5,6,7\}H={1,2,3,4,5,6,7}
- Is the following set HHH in builder notation? H=[0,20]H = [0,20]H=[0,20]
- Write the following set in an equivalent builder notation: H={...,−4,−2,0,2,4,6,8,...}H = \{...,-4,-2,0,2,4,6,8,...\}H={...,−4,−2,0,2,4,6,8,...}. (Below, Z\mathbb{Z}Z is the set…
- Write the following set in an equivalent builder notation: H={1,3,5,7,9,...}H = \{1,3,5,7,9,...\}H={1,3,5,7,9,...}. (Here by N\mathbb{N}N we mean the set of positive integers.)
- Is there ever more than one way of using set-builder notation to construct the same roster set?
- Is the following set HHH in builder notation? H={31,32,33,43,53,63,73}H = \{31,32,33,43,53,63,73\}H={31,32,33,43,53,63,73}
- Is the following set HHH in builder notation? H=[0,10000]H = [0,10000]H=[0,10000]
- What is the set of people who get brownies, expressed in set builder notation? (Read "|" as "such that")
- Megan likes earrings. She will buy any she finds that are silver. What is the set of earrings that Megan will buy expressed in set builder notation?
- Chris lifts weights. He started with 555 lbs. Every week he increases the weight by 555 lbs. He has been exercising for 777 weeks. What is the set of weights that Chris has lift…
- Which one(s) are in set builder notation?
- Which of the following is in set builder notation?
- Select all numbers in the set {x∣x>0}\{x|x>0\}{x∣x>0}.
- Select the numbers in the set {x∣1x>3}\{x|\frac{1}{x}>3\}{x∣x1>3}.
- Express this graph in set builder notation.
- Set AAA is defined as: A={x∣x is not prime.}A =\{x|x \text{ is not prime.}\}A={x∣x is not prime.} Which of the following is not in set AAA?
- Set EEE is defined as: E={x∣x is not odd}E=\{x| x\text{ is not odd} \}E={x∣x is not odd} Which of the following is not in the set?
- Which of the following sets is in set builder notation?
- Which of the following does not belong to this set: {x∣x≤7 and x>2}\{x|x\leq 7 \text{ and } x > 2\}{x∣x≤7 and x>2}