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|dw:1440792391540:dw| I'm not sure if it's \(-6
I know I didn't include the points, but that's what they are, lol
the open circles means the relation doesn't exist there
your relation is not defined anywhere else for x=-6 or x=3 so you definitely will not include x=-6 or x=3
So the first inequality was correct?
yes you don't want to include x=-6 or x=3 and your second inequality does that that is what the little horizontal lines under the inequalities mean less than or equal to
yea the 1st inequality is correct cause the values -6 and 3 are omitted in the graph :)
Yes, I know that part @freckles. haha
oh then I guess I wasn't sure why you were asking why not to include the equality part
Idek why I was uncertain. I think it's because it was a circle and it was on both sides, but I don't know XD thanks thought :)
|dw:1440793380136:dw| if it was this then you say: \[-6 < x \le 3 \]
|dw:1440793415292:dw| or if it was this then you would say: \[-6 \le x \le 3 \]
but hey do we know where is the center of the circle? is it situated at the origin?
and the one more possibility just for fun: |dw:1440793456096:dw| then you would say: \[-3 \le x < 6 \]
Yes, I know what the closed and open circles mean lol XD and no, it's not. I just did a quick sketch of a circle. I have it in front of me on an actual graph with points. I understand now. Thanks
@imqwerty i think it is not a circle because the midpoint of x=-6 and x=3 is not 0
not a circle centered at (0,0)*
i asked the most stupid question :'( :P
it is a circle. the center is at (-1,1). I just didn't draw it that way
Okay, I do have ONE more question on this topic.
Just a clarification, really.
|dw:1440793616192:dw| those bottom points all have the same y-values, I just didn't bother showing it. XD But one is open and one is closed so would the inequality be the less than or equal to symbol...since it still touches that point in other areas?
well, not really that point, but that y-value
so are you looking at range then
|dw:1440793821415:dw| well a is included
because that one dot is filled at y=a
so the range would be [a,b]
or equivalently an inequality form a<=y<=b
So I was right. Thanks! I just wanted to make sure I wasn't wrong. xp