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whats the cardinal number for 101, 102, 103, 104, . . . 128 and 101, 103, 105, . . . 251

 Sep 8, 2017
 #1
avatar+2340 
0

The cardinal number of a set is actually a simple concept: it specifies how many there exists.

 

To find the set, just subtract the highest and lowest numbers. \(128-101=27\)

 

We do the exact same thing for the second set. \(251-101=140\)

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 Sep 8, 2017
 #2
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27 is wrong 

Guest Sep 8, 2017
 #5
avatar+99117 
+1

Say you wanted the cardingal number of    101,102 

you can see that it is 2 because there are 2 elements.

but 102-101=1   so that is why you have to add 1   :)

Melody  Sep 8, 2017
 #3
avatar+1351 
+3

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

 

If the set is sequential, then subtract the lowest from the highest and add 1

 

Example:

 

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

 

10 - 1 =9

9 + 1 =10 

 

Cardinal number is 10

 Sep 8, 2017
 #4
avatar+21816 
+1

whats the cardinal number for 101, 102, 103, 104, . . . 128 and 101, 103, 105, . . . 251

 

The number of distinct elements in a finite set is called its cardinal number.

It is denoted as n(A) and read as ‘the number of elements of the set’.

 

For example:

(i) Set A = {2, 4, 5, 9, 15} has 5 elements.

Therefore, the cardinal number of set A = 5. So, it is denoted as n(A) = 5.

 

Set A = {  101, 102, 103, 104, . . . 128  }

subtract from each element 100 we have 1, 2, 3, ... , 28

n(A) = 128-100 = 28

 

Set B = {  101, 103, 105, . . . 251  }

subtract from each element 100 we have 1, 3, 5, ... , 151

151 = 2n-1

so \(n = \frac{150}{2} = 75\)

n(B) = 75

 

laugh

 Sep 8, 2017
edited by heureka  Sep 8, 2017

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