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Write finite or infinite for each set of numbers. And why it's finite or infinite?

 

1. The set of rational numbers between 0 and 10

 Sep 15, 2016
 #1
avatar+128053 
+6

1. The set of rational numbers between 0 and 10

 

Infinite....here's a simple example........consider the set of rational numbers between 0 and 1

 

Let's say we have the two rational .55   and .56

 

Note......that I could add an ending 5 to the fiirst number and get another rational between these two. And adding another 5 to the end of this would give me another rational between .555 and .56

 

And adding another 5 to the end of this would give me a rational between  .5555 and .56...and so on.....in fact, we have more rationals between 0 and 1 then there are integers on the number line.......they are infinite.....so.......the set of rationals between 0 and 10 is also infinite

 

 

cool cool cool 

 Sep 15, 2016
 #2
avatar+73 
-2

Thanks a lot!!!!!smiley

GAMEMASTERX40  Sep 15, 2016

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