Interval Notation
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Transcript Interval Notation
Interval Notation- Uses inequalities to describe
subsets of real numbers.
Example:
This is an example of a Bounded Interval
That is because x is in the middle or bound by the
numbers on the end
We will use brackets and
parenthesis to represent the
numbers that x can be
Since x can be equal to -2 we
use a bracket: [
This means that x starts at -2
and can be equal to it
Since x cannot be 6, we’ll use a
parenthesis )
This means that x is less than
6 and cannot equal it
Write an inequality to represent the following interval
notation:
Unbounded Interval
Example: Write the following in interval notation:
In this case the x is not in the middle of two numbers
That means it’s not “bound”
There are a infinite amount of numbers that are less
than 6, so we’re going to have to use the infinity sign
Since x is smaller than 6, the 6 is the
right bound
Use a bracket since it can be equal to
The other side has an infinite number
of solutions, so we’ll use the infinity
sign
Since it goes on forever in a negative
direction, ∞ has to be negative
Since you can’t equal infinity, use a
parenthesis