Whats the trick for knowing which ( ) or [ ] go where in interval notation?

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

Whats the trick for knowing which ( ) or [ ] go where in interval notation?

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

Like... (- infinity sign, infinity sign) (- infinity sign, -1] (-3,0] [-1,8)
Let's draw a number line with these four special numbers marked: -x <------o----o----o----o----0----o----o----o----o------> +x -3 -1 1 3 The trick is to look at the sign (+ or -) of your expression in each one of the intervals where nothing changes sign from + to - or back. These intervals are "up to but not including -3", "strictly between -3 and -1", etc. There are 5 of them. As an example, let's see what happens between -1 and +1. The numerator has one positive factor and one negative factor. The same is true for the denominator. So both numerator and denominator are negative, making the fraction > 0. Now we know that it is >= 0 in the interval (-1,+1). Remember the fraction is 0 for x=-1 and undefined for +1, so we write [-1,+1); the square cornered bracket on the left shows -1 IS IN the interval we are talking about where the fraction is >= zero. With me so far? Now do this kind of analysis about the 4 other sub-intervals to see what happens. As for the graph for such a problem, just draw on the number line to show what x values are included. There are two ways to show that an end point is or isn't included in the graph. Some books use "[" and "(" for this and some use a filled-dot and hollow-dot for it. Look in your book. I hope this helps.
i am tired as heck after having to type that lol

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

Please medal and fan if this helps you
note when one of the numbers infinity or - infinity it's always a '(' or ')'
Yep
Um what?
I have no clue what dot things your talking about. I dont have a book to look at
if you read everything outloud to yourself it will make sense
My examples show ( ) and [ ]
That is all i can do to help. i hope you understand
I rather no draw a number line for every problem I do.. Is there a easier way
not *
It doesnt matter if I read it allowed or not I dont understand anything you said.
one of your examples is (-3,0] that means 'greater than -3 and less than and including 0'.
Okay I get that.. And my examples were just to show someone what Im talking about
so are you happy with the answers given?
Um not really.. Im still where I was before.. Can you maybe give me an example to solve or something? Im working with domain and range right now
ok so what does [ , INf sign) mean
? Like [1, infinity sign) ??
yes
Okay.. [ means less than and including 1.. ) means greater than infinity
No It means greater than and including 1 and up to infinity
I dont get it then
- in other words all numbers from and including 1 and going on infinaiely
well try an easy one {3 , 6) this is all numbers greater than and including 3 and less than 6 the [ means that 3 is included and the ) at the end means 6 is NOT included
that the square bracket [
means 'included'
1 Attachment
also its important to remember that its a continuum of numbers between these to values not just 4 and 5 its 3.9011, 5.5 , 5.9999 and whatever
This is what im working on. I really understand what you just said. Im trying to but its not making any sense to me
I dont care about that. I just want to know how to know where to put () and []
I assumed there was some trick people knew that helped them figure it out quick.
when you have square it includes the end values
the domain is all the values of x that the function can take the empty circle means that that values of x is not included and the filled means that values of x is included.
Yes..
yes the domain for that function is (-3,0]
the x -3 has the emplty circle but x = 0 has filled one
Yeah.. But how do you know where to put the 9 and ] at??
( ] **
well ( when the number is not included - so it comes before the -3
|dw:1441818059986:dw|
Um okay I think I understand that..
So the range would be (5,-4] ??
the lowest value of y comes first in the range this is -5 and the highest is 5
Sorry lowest is -4
So [-4,5)
yes
-4 is included but 5 is not
Okay I think I understand
good
Thank you.

Not the answer you are looking for?

Search for more explanations.

Ask your own question