PinkSapphire
  • PinkSapphire
Can anyone explain the interval, roster, and the set builder notation to me please?
Mathematics
chestercat
  • chestercat
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dinamix
  • dinamix
interval is a set of real numbers with the property that any number that lies between two numbers in the set is also included in the set. For example, the set of all numbers x satisfying 0 ≤ x ≤ 1 is an interval which contains 0 and 1, as well as all numbers between them @PinkSapphire
PinkSapphire
  • PinkSapphire
Okay, so is there an infinite amount of numbers in that set?
dinamix
  • dinamix
i want ask u how many numbers we have \[x \in[0; 1]\]

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dinamix
  • dinamix
PinkSapphire
  • PinkSapphire
Any number between 0 and 1 including 0 and 1?
dinamix
  • dinamix
yup this is it
PinkSapphire
  • PinkSapphire
Okay, thanks :)
PinkSapphire
  • PinkSapphire
Do you know how to do the other ones?
zzr0ck3r
  • zzr0ck3r
Yes there are an infinite amount of numbers in that interval. In fact any interval that has more than one number has the same amount of numbers as there are number!!! WTH??>
PinkSapphire
  • PinkSapphire
:)
zzr0ck3r
  • zzr0ck3r
Let us look at examples of all three notations. We will consider all of the numbers between 1 and 2, and we will NOT include 1 and 2. Set builder notation: \[\{x\in \mathbb{R} \mid 1
PinkSapphire
  • PinkSapphire
Okay, that makes sense.

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