what is cardinal number or cardinality?
a measure of "the numbers of elements in the set"
What is set equivalence?
if two sets have the same number of elements
When are sets equal?
Sets are equal if they contain the exact same elements, regardless of their order.
Cardinal number of the set {5,10,15,20,25,30}
6
Are the following 2 sets equivalent? Why or why not?
M= {26, 65, 98, 125, 654}
C= {90, 53, 76, 13, 890}
Yes, they are equivalent because both of their cardinality equals 5.
Are the sets equal? Why/Why not?
Set A= {6, 2, 9, 11, 3}
Set C= {6, 9, 2, 3, 14}
No they aren't because they do not have the same exact elements.
Set C is missing element 11
The cardinality of the set of Parishes in Jamaica
14
Are the following 2 sets equivalent? Why or why not?
P= {l, m, n, o, p, q}
W= {p, l, n, o, m}
No, they are not equivalent.
Set P cardinality= 6
Set W cardinality= 5
Set 1= {a, b, c, d, e, f, g}
Set 2= {c, e, a, b, f, g, d}
Yes they are equal
The cardinal number of the set of positive integers less than 25
24
Determine if the set of number of letters in MISSISSIPPI and the set B= {q, w, e, r, t, y, u, i, o, p, a} are equivalent
Yes, they are equivalent.
Create 2 sets that are equal (write on your whiteboard)
*teacher will check*
Set A= {Chicago, San Diego, Miami, New York, Atlanta, Dallas, Madison}
The cardinal number:
7
Determine is the set of months within 2 years, I, and the set x= {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24} are equivalent.
No they are not equivalent- 2 YEARS not 1
Are these sets equal? Why or why not?
Set 1= the number of negative integers greater than -10
Set 2= the number of positive integers between 1-10
No, they are not equal. The do not have the exact same elements.