Question 138910: Describe what the graph of interval [-4,10] looks like.
HELP PLEASE. How do i explain this???
Answer by nabla(475)   (Show Source):
You can put this solution on YOUR website! When we use brackets with intervals, it means the numbers are included.
To be clear,
[-4,10] implies all numbers (inclusive) between -4 and 10. In equality form, -4<=x<=10.
Now, depending on the method you are being taught, to draw the graph, you would form a numberline of at least 2 (the endpoints) but preferably more numbers. To imply inclusion, some use a filled-circle. Thus, you could accurately graph the interval using two solid dots, one at -4 and one at 10, and a line connecting them.
There are other methods, such as using a bracket instead of a filled in circle. This isn't usually the preferred way, to my knowledge, because it is less intuitive than the dot method.
Now, just so you are aware, parentheses are used to imply exclusion of the number. For instance, (-2,5] means all numbers greater than -2 and less than or equal to 5. Hope this helps.
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