use interval notation to express -5_________2 ?

Question

calculus question, : express using interval notation. can someone explain wat it means. and answer the question -5____________2?
thx

Answer 1

Interval notation is actually a way of expressing what the number line graph says in such a way that you could type it out easily.

Use a parenthesis, "(" or ")", for each endpoint that does not include the endpoint; use a square bracket, "[" or "]" if it does include the endpoint.

Unfortunately, your question doesn't tell me which endpoint, or neither, or both, is included.

So your interval would be expressed as...

(-5, 2) if neither endpoint is included
[-5, 2) if it includes -5 but not 2
(-5, 2] if it includes 2 but not -5
[-5, 2] if it includes both.

We call an interval "open" when it does not include its endpoints. Be careful of the context, because an open interval expressed in interval notation looks just like the notation for the coordinates of a point in the plane in most math textbooks. Worse yet, some people also use exactly the same notation for a vector in 2 dimensions.

We call an interval that contains both its endpoints "closed."

The other two possibilities are called "half-open" or "half-closed" depending on the mood of whoever is writing about it.

Answer 2

-5 < 2

Answer 3

ANS : (-5,2)

assuming that the problem doesn't include <= in it.

also can can have x < -5 or x > 2, which would look like

(-infinity,-5) U (2,+infinity)