venn diagrams and set operations
E={x|x<5 and XEW}
0,1,2,3,4
When will a set and its complement be disjoint? Explain and give an example.
A set and its complement will always be disjoint. If U equals={1, 2, 3} and A equals={1, 2}, then Upper A primeA′ is the set of elements in the set {1, 2, 3} that are not also elements of the set {1, 2}. The only such element is 3, so Upper A prime A′equals={3}. None of the elements of A are elements of Upper A prime A′, and none of the elements of Upper A prime A′ are elements of A, so the two sets are disjoint. Since Upper A prime A′ will always be the set of elements that are elements of the universal set and not elements of A, then no element of A will ever be an element of Upper A prime A′, and no element of Upper A prime A′ will ever be an element of A. Therefore, a set and its complement will always be disjoint.
U is the set of universities in a country A is the set of universities that have a football team. B is the set of universities that have physics department describe B' in words
B' is the set of universities in a country that have a football team and do not have physics department
Let U represent the set of teamsteams in a basketball league. Let A represent the set of teams in the league that have a winning record. Describe primeA′.
The set of teams in the league that do not have a winning record
A={x|-4<x<4 and x E I}
a={-3,-2,-1,0,1,2,3}
c={z|z is an even interger greater than 18 and less than or equal to 22}
c=20,22
A={x|x<8 and XEN}
set A is the set of all x such that x is natural numbers less than 8 the roster for the set is 1,2,3,4,5,6,7
Describe the set given below. {1,3,5,7,....}
the given set is the set of odd whole numbers
{-3,3,1/2,5/8,0,sqr root 2, sqr rrot 8, -4.59, 66/67
the set of natural numbers in the given set is 3 the whole numbers are the numbers in the set {0,1,2,3,...}
A={10, 20, 30, 40,...}
the set of natural numbers multiples of 10
h={x|x is a whole number multiple of 12}
{0,12,24,36,48,....}
j={x|x>7 and XEI}
{8,9,10,....}