SOLUTION: Hello, I am confused on this, I thought the graph meant you know the regular area but then I looked at brackets and could tell something was different. Could you describe what the

[-4, 10]

You first draw a blank number line line this

--------------------------------------------------------------
-7 -6 -5 -4 -3 -2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13

Since it has brackets [ ] on the ends and not parentheses( ),
we draw two solid circles at -4 and 10, like this:

----------⚫----------------------------------------⚫---------
-7 -6 -5 -4 -3 -2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13

Then you shade the line between them:

----------⚫========================================⚫---------
-7 -6 -5 -4 -3 -2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13

And that is the graph of the interval [-4,10].

---

A bracket next to an endpoint means that you include the endpoint.

A parentheses next to an endpoint means you do not include the endpoint.

--

Here are examples of other intervals:

----------⚪========================================⚫---------
-7 -6 -5 -4 -3 -2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13

That is the graph of the interval (-4,10]

---

----------⚫========================================⚪---------
-7 -6 -5 -4 -3 -2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13

That is the graph of the interval [-4,10)

---

----------⚪========================================⚪---------
-7 -6 -5 -4 -3 -2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13

That is the graph of the interval (-4,10)

If an endpoint is included, the interval is said to be CLOSED there.
If an endpoint is not included, the interval is said to be OPEN there.



Edwin