Sets
Gbogbo ọrọ náà
A set is simply a collection of things, and once you have a precise way to talk about collections you can describe almost anything in mathematics: the factors of a number, the solutions of an equation, the students who study both French and Spanish. Sets give you the exact language, and Venn diagrams give you the picture.
In this lesson you will learn the symbols mathematicians use for sets, how to read and write them, and how to draw and interpret Venn diagrams. You will work with the union and intersection of sets, the complement of a set, and (for Extended) the relationships between sets such as subsets. These tools reappear later in probability, so they are well worth mastering.
Ebumnobi
- Understand and use set language, notation and Venn diagrams to describe sets.
- Understand and use set language, notation and Venn diagrams to describe sets and represent relationships between sets. (Extended only)
Nkuzi Olu
Gee ntị na nkuzi a na ngwa
Maapụ uche
E seela isiokwu a ka ị hụ otu echiche si ejikọta.
Mepee maapụ uche na ngwa
Kaadị ncheta
Omume ncheta ngwa ngwa n'ihe a na-anwale n'isiokwu a.
Mee omume kaadị ndị a na ngwa
Akwụkwọ Ọmụmụ
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Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Sets. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.
Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.
Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.
- If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is A ∩ B? A. {1, 2, 5, 6} B. {3, 4} C. {1, 2, 3, 4, 5, 6} D. { } Answer: B
- If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is A ∪ B? A. {3, 4} B. {1, 2, 5, 6} C. {1, 2, 3, 4, 5, 6} D. {1, 2, 3, 4, 4, 5, 6} Answer: C
- The universal set is {1,2,3,4,5,6,7,8} and A = {2,4,6,8}. What is A'? A. {1, 3, 5, 7} B. {2, 4, 6, 8} C. {1,2,3,4,5,6,7,8} D. { } Answer: A
- Which symbol means 'is an element of'? A. ⊆ B. ∪ C. ∈ D. ∩ Answer: C
- If A = {2, 4} and B = {1, 2, 3, 4, 5}, which statement is true? A. A ∪ B = {2, 4} B. A ⊆ B C. B ⊆ A D. A ∩ B = { } Answer: B
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Akụkụ akwụkwọ
Tree and Venn Diagrams
Sometimes, when the probability problems are complex, it can be helpful to graph the situation. Tree diagrams and Venn diagrams are two tools that can be used to visualize and solve conditional probabilities. A tree diagram is a special type of graph used to determine the outcomes of an experiment.
"Introductory Statistics: Tree and Venn Diagrams" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/introductory-statistics/pages/3-5-tree-and-venn-diagrams. Access for free at https://openstax.org/books/introductory-statistics/pages/1-introduction
Ndị otu ndị ọzọ bipụtara ha n'okpuru ikike mepere emepe, anyị na-ekele ha dị ka ha si chọọ. Njikọ na-emepe saịtị ha.
Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Sets? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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