math 100 test with 100% correct answers 2024

math 100 testthree methods to represent sets - correct answer word description, roster method and set builder the empty set - correct answer the null set, set that contains no elements ( ) or 0/ what are elements - correct answer elements are objects of the set Sets - correct answer sets are collection of objects whose contents can clearly be determined Intersection definition and notation - correct answer The intersection of sets A and B is the set of elements common to both set A and B. See note card for notation and set builder notation The formula for the cardinal number of the union of two finite sets - correct answer n ( A U B ) = n(A) plus n(B) - n (A intersect B ) what are disjoint sets - correct answer 2 sets that have no elements together de morgans law (two laws) - correct answer 1. the complement of the intersection of 2 sets is the union of the complement of those sets (A intersect B)' = A' U B' 2. The complement of the union of two sets is the intersection of the complement of those sets (A U B)' = A' intersect B' Inductive reasoning/ deductive reasoning - correct answer - inductive reasoning begins with individual obersvations and works to a general conjuncture (educated guess) -deductive reasoning begins with a general case and works to prove a specific statement or theorem