What is interval notation? Could you please give an example?

We can use interval notation to show that a value falls between two endpoints. For example, -3≤x≤2, [-3,2], and {x∈ℝ|-3≤x≤2} all mean that x is between -3 and 2 and could be either endpoint.

Lets say you had the compound inequality which describes x being anything between 5 and 7, including both endpoints. This is the interval from 5 to 7.

To write this in interval notation, we would write [5, 7]

The square brackets mean "include the endpoint"

If we had something like then we would write (5, 7]. Note how I'm using a curved parenthesis to exclude the endpoint 5.

If we exclude 7, but keep 5, then we will go from to [5, 7)

Finally, converts to (5,7) and we're excluding both endpoints. Unfortunately this last example is identical to ordered pair (x,y) point notation. So be sure not to mix up those two concepts.

--------------------

In short, interval notation is where we list the endpoints of the interval, and use parenthesis or brackets to exclude or include the endpoint.

360 different combinations

goog may be able to you find that answer