PLEASE EXPLAIN ME THE DEMORGANS LAW.
De Morgan's Laws for Sets For sets, De Morgan's Laws are simply observations about the relation between sets and their complements. An easy way to visualize these rules is through venn diagrams
Observe the union of the complements of two sets. On a Venn Diagram, this union covers all space in the Venn Diagram except for the intersection of the two sets. Hence, De Morgan's Law for the complement of an intersection of two sets.
Complement of an Intersection of Two Sets
The complement of the intersection of sets and is equal to the union of and .
Submit your answer A recent survey asked high school students whether or not they planned to go to the upcoming basketball game or the upcoming football game.
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200 total students were surveyed.
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58 students stated that they would miss at least one of the games (this includes the students that plan to miss both games).
How many students plan to attend both games?
Observe the intersection of the complements of two sets. On a Venn Diagram, this intersection covers all space in the Venn Diagram except for the union of the two sets. Hence, De Morgan's Law for the complement of a union of two sets.
Complement of a Union of Two Sets
The complement of the union of sets and is equal to the intersection of and .
For sets, De Morgan's Laws are simply observations about the relation between sets and their complements. An easy way to visualize these rules is through venn diagrams
Observe the union of the complements of two sets. On a Venn Diagram, this union covers all space in the Venn Diagram except for the intersection of the two sets. Hence, De Morgan's Law for the complement of an intersection of two sets.
Complement of an Intersection of Two Sets
The complement of the intersection of sets and is equal to the union of and .
Submit your answer A recent survey asked high school students whether or not they planned to go to the upcoming basketball game or the upcoming football game.
-
200 total students were surveyed.
-
58 students stated that they would miss at least one of the games (this includes the students that plan to miss both games).
How many students plan to attend both games?
Observe the intersection of the complements of two sets. On a Venn Diagram, this intersection covers all space in the Venn Diagram except for the union of the two sets. Hence, De Morgan's Law for the complement of a union of two sets.
Complement of a Union of Two Sets
The complement of the union of sets and is equal to the intersection of and .
