Question

The cardinality of the set of even positive integers less than 20 is__________? *

Answer 1

$\purple{\sf{let:}}$

$\sf{Let  \: S \:  be \: the \: set \: of \: even \: positive\:integer} \\ \sf { less\: than \:20. }$

$\implies S = (0,2,4,6,8,10,12,14,16,18)$

$\orange{ \therefore \sf{cardinality = n(S ) = 10}}$

HOPE IT HELPS!

Answer 2

SOLUTION

TO FILL IN THE BLANK

The cardinality of the set of even positive integers less than 20 is_____

EVALUATION

We know that set is a well defined collection of distinct objects of our perception or of our thought to be conceived as a whole

We have to find the cardinality of the set of even positive integers less than 20

Let S = The set of even positive integers less than 20

The even positive integers less than 20 are 2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18

Then S = { 2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 }

Now the cardinality of a set is defined as the number of elements in the set

Since S contains 9 elements

Hence the cardinality of the set = 9

FINAL ANSWER

The cardinality of the set of even positive integers less than 20 is 9

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