TEORIA DOS CONJUNTOS | TUDO QUE VOCÊ PRECISA SABER

SET THEORY | EVERYTHING YOU NEED TO KNOW A set is a collection of elements. We can say that this definition is quite primitive, but from this idea we can relate other situations. The universe set and the empty set are special types of sets. Empty: has no elements and can be represented by { } or Ø. Universe: has all the elements according to what we are working on. It can be represented by the capital letter U. Representing sets The representation of a set depends on certain conditions: Example 1 Condition: The set of even numbers greater than zero and less than fifteen. Representation through its elements. A = {2, 4, 6, 8, 10, 12, 14} Representation by the property of its elements. A = {x / x is even and 0 is less than x and is less than 15}. The slash symbol (/) means “such that”. x such as x is even and x is greater than zero and x is less than 15. Example 2 Condition: The set of odd Natural numbers less than twenty. Elements A = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19} Property of elements Another way of representing sets of elements is through the use of diagrams. Sets are used to represent any situation involving or not involving elements. In Mathematics, an important application of sets is in the representation of numerical sets. Set of Natural numbers Set of Integer numbers Set of Rational numbers Set of Irrational numbers Set of Real numbers Set of Complex numbers Set of Algebraic numbers Set of Transcendental numbers Set of Imaginary numbers Basic studies on sets gave rise to studies related to Set Theories, which analyze their properties. These studies originated in the work of the Russian mathematician Georg Cantor. In set theory, the elements can be: people, numbers, other sets, statistical data, etc. -------------------------------------------------------------------------------------------------- tags: SETS, Venn diagram, set theory, set complement, set problems, Venn diagram sets, set theory, set operations, union and intersection, union of sets, intersection of sets, set operation exercises, set operation examples, problem with 3 sets, problem with set, union of sets intersection and difference, sets, set theory mathematics, set theory, union of sets, set operations MATHEMATICAL REASONING Solving numerical problems, percentage, sets and counting. 1st and 2nd degree equations and systems and simple rule of three. Area, volume and capacity. Calculating the average, reading and interpreting data represented in tables and graphs. Metric relations in the right triangle. -------------------------------------------- tags: FUNDAMENTAL PRINCIPLE OF COUNTING, combinatorial analysis enem, combinatorial analysis, pfc, multiplication rule, fundamental principle of counting, Solving numerical problems, percentage, sets and counting, Equations and Systems of the 1st and 2nd degrees, simple rule of three, Area, volume and capacity, Calculation of the average, reading and interpretation of data represented in tables and graphs, Metric relations in the right triangle, combinatorial analysis, mathematics pm pr 2020