SOLUTION: Find the cardinal number of each of the following sets. a.​ {100​, 101​, 102​, 103​,...120​} c.​ {x|x=k^2​, k=​1, ​2,

Algebra ->  Expressions-with-variables -> SOLUTION: Find the cardinal number of each of the following sets. a.​ {100​, 101​, 102​, 103​,...120​} c.​ {x|x=k^2​, k=​1, ​2,      Log On


   



Question 1040686: Find the cardinal number of each of the following sets.
a.​ {100​, 101​, 102​, 103​,...120​}
c.​ {x|x=k^2​, k=​1, ​2, ​3,...67​}
b.​ { 100, 102, 104,...300​}
d.​ {(1, 2), ​(100​, 101​), ​(0, 104​)}

Answer by ikleyn(52787) About Me  (Show Source):
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Find the cardinal number of each of the following sets.

      Cardinal number of a finite set is the number of elements in the set.

a.  ​ {100​, 101​, 102​, 103​,...120​}      This set contains 21 element. --->  The cardinal number is 21.

c.  ​ {x|x=k^2​, k=​1, ​2, ​3,...67​}       This set contains 67 elements. --->  The cardinal number is . . . what? 

b.  ​ { 100, 102, 104,...300​}          This set contains 101 elements. --->  The cardinal number is . . . what? 

d.  ​ {(1, 2), ​(100​, 101​), ​(0, 104​)}   There are 4 (four) elements in this set. Hence, the cardinal number is 4.

    (the elements of this set are pairs of numbers)

Your list goes in the strange order: a), c), b), d).