whats interval notation

Question

anonymous · Answer

In mathematics, a (real) 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 satisfying is an interval which contains and , as well as all numbers between them. ...

ash2326 · Answer

@cool_singer214  suppose you want to denote this in interval notation
2<x< 6
it's interval notation is
$$x \epsilon (2, 6)$$

ash2326 · Answer

small e implied belongs to so
x belongs to (2, 6)

anonymous · Answer

whats the x for

anonymous · Answer

like whats it mean because the problem says w<5 and w>-1

ash2326 · Answer

x is just a variable like w,
Question states that w<5 and w>-1
these two can be combined into one expression
-1< w< 5
do you get this?

anonymous · Answer

ohhhhhhhhhhhhh! i gotcha thnk u

ash2326 · Answer

Now you can write it as
w belongs to (-1, 5)

anonymous · Answer

ok then it says to graph it and find the interval notation. how r u supposed 2 graph tht on a number line and do u have to shade the line?

ash2326 · Answer

This is open interval, -1 and 5 are not included.
You'd depict them in this way|dw:1350323949796:dw|

ash2326 · Answer

If we had
$$-1\le w \le 5$$
then the circles would have to be filled, like this|dw:1350324092088:dw|