Sets
Bayani Gaba-gaba
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.
Manufura
- 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)
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Nazarin Darasi
Barka da kammala darasi akan Sets. Yanzu da kuka bincika mahimman ra'ayoyi da ra'ayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.
Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.
Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.
- 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
Yi aikin wadannan tambayoyi a cikin manhaja
Yi aikin wadannan tambayoyi a cikin manhaja
Littattafan da ake ba da shawarar karantawa
Ƙarin koyo daga tushe na buɗe
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Sashen littafi
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
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