Question

Explain the difference between the interval (–3, 5) and [–3, 5]. How would the graphs of the two intervals be different?
Ok, I need help one more time. I have no idea at all.

Answer 1

(-3,5) says "the interval from -3 to 5, but EXCLUDE the endpoints -3 and 5"

[-3,5] says "the interval from -3 to 5, and INCLUDE the endpoints -3 and 5"

Answer 2

So basically the only difference is the endpoints?

Answer 3

exactly

Answer 4

Ok, thanks! would there be a difference between the interval?

Answer 5

for example, say we have the list of values

{1, 2, 3, 4, 5, 6, 7, 8}

The interval (2,7) would have these values: 3, 4, 5, 6 ... Notice how the endpoints 2 and 7 are NOT included

On the other hand, the interval [2,7] would have these values: 2, 3, 4, 5, 6, 7 and now the endpoints 2 and 7 are included

Answer 6

no, there is no difference in the points that are not the endpoints

Answer 7

() equal open ends and [] equal closed ends

Answer 8

Ok, so I would have -3,-2,-1,0,1,2,3,4,5 and -2,-1,0,1,2,3,4

Answer 9

if you're talking about integers only, then yes

[-3,5] = {-3,-2,-1,0,1,2,3,4,5}

and

(-3,5) = {-2,-1,0,1,2,3,4}

Answer 10

you are graphing these correct?

Answer 11

Ok, thanks again for all your help. I'm pretty sure it's talking bout integers.

Answer 12

@cbm

Answer 13

If you're talking about real numbers and graphing them on the number line, then

the graph of [-3,5] looks like this



The endpoints are closed circles with the shaded region in between