MATH (SETS) questions and answers with
solutions 2024
what is set theory? - ANSWER the basis of all mathematics
what is a set? - ANSWER a collection of objects (well defined) called elements
A set can be defined by what 3 ways? - ANSWER 1.) by giving a verbal description 2.) by listing. 3.) by
using set builder notation
how can you show the empty set? - ANSWER a circle with a line through it or empty brackets
what is the definiton of equal sets - ANSWER every element in A is also in B, every element in B is also in
A. Equal sets have the same elements, not necessarily in same order. A=B
What is a subset? and whats the symbol? - ANSWER A is a subset of B which means every element in A is
also in B. The symbol is similar to and equal or greater than sign but its circular
what s a proper subset? - ANSWER A is a proper subset of B means that every element in A is also in B.
But there is at least 1 element in B not in A. The symbol is a sideways C
What is the universe? - ANSWER The set of all #'s under consideration. Symbol equals U
what is a 1 to 1 correspondence? - ANSWER If the elements of set A and set B can be paired so that for
each element of A there is exactly one element of B
N(A) = ? - ANSWER the number of elements in set A , the cardinal number
What is equivalent sets? - ANSWER Can be put into a 1 to 1 correspondence with each other. A (squiggle
sign) B. They have the same # of elements.
2^n - ANSWER The # of subsets
solutions 2024
what is set theory? - ANSWER the basis of all mathematics
what is a set? - ANSWER a collection of objects (well defined) called elements
A set can be defined by what 3 ways? - ANSWER 1.) by giving a verbal description 2.) by listing. 3.) by
using set builder notation
how can you show the empty set? - ANSWER a circle with a line through it or empty brackets
what is the definiton of equal sets - ANSWER every element in A is also in B, every element in B is also in
A. Equal sets have the same elements, not necessarily in same order. A=B
What is a subset? and whats the symbol? - ANSWER A is a subset of B which means every element in A is
also in B. The symbol is similar to and equal or greater than sign but its circular
what s a proper subset? - ANSWER A is a proper subset of B means that every element in A is also in B.
But there is at least 1 element in B not in A. The symbol is a sideways C
What is the universe? - ANSWER The set of all #'s under consideration. Symbol equals U
what is a 1 to 1 correspondence? - ANSWER If the elements of set A and set B can be paired so that for
each element of A there is exactly one element of B
N(A) = ? - ANSWER the number of elements in set A , the cardinal number
What is equivalent sets? - ANSWER Can be put into a 1 to 1 correspondence with each other. A (squiggle
sign) B. They have the same # of elements.
2^n - ANSWER The # of subsets
