Mathematics Specification B - 4MB1 PearsonEdexcel

Set Theory And Notation

Gbogbo ọrọ náà

Every time you filter search results, group customers by two overlapping criteria, or ask how many students take both Physics and French, you are reasoning about sets. Set notation gives that reasoning a precise, compact language instead of long sentences.

You will use curly-brace notation and membership symbols, work with union, intersection and complement (including sets defined algebraically), count elements with the \(n(A)\) notation, and solve two- and three-set Venn diagram problems, including ones where a region is left as an unknown to find by equation.

Ebumnobi

  1. Understand the idea of a set
  2. Use set language and notation
  3. Understand and use union and intersection of sets, including sets defined in algebraic terms
  4. Find the number of elements in a set using the notation n(A)
  5. Understand and use complementary sets with the notation A'
  6. Understand and use subsets
  7. Understand and use the universal set and null set
  8. Use Venn diagrams and their application in simple logical problems
  9. Use symbols to represent sets

Maapụ uche

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Akwụkwọ Ọmụmụ

A streaming service tags films by genre, a school timetable groups students by the subjects they study, a spreadsheet filter selects rows matching several conditions at once. Each of these relies on the idea of a well-defined collection of objects. Set theory gives you the symbols to describe such collections exactly, and to combine them without ambiguity.

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Nnyocha Ọmụmụ

Ekele diri gi maka imecha ihe karịrị na Set Theory And Notation. 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.

  1. Which symbol means 'is not an element of'? A) The union symbol B) The subset symbol C) The not-an-element-of symbol D) The complement symbol Answer: C
  2. If A = {2, 3, 5, 7} and B = {1, 3, 5, 9}, what is A intersection B? A) {1, 2, 3, 5, 7, 9} B) {3, 5} C) {2, 7} D) {1, 9} Answer: B
  3. The universal set is {1, 2, 3, 4, 5, 6, 7, 8} and C = {2, 4, 6, 8}. What is C complement? A) {1, 3, 5, 7} B) {2, 4, 6, 8} C) The empty set D) {1, 2, 3, 4} Answer: A
  4. If n(P) = 20, n(Q) = 14 and n(P intersection Q) = 6, what is n(P union Q)? A) 6 B) 28 C) 34 D) 40 Answer: B
  5. Which statement about the empty set is always true? A) It is a subset of every set B) It contains one element C) It equals the universal set D) It cannot be a subset of any set Answer: A

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