To simplify interval notation, you combine overlapping or contiguous intervals into a single interval if possible. For example, if you have the intervals [2, 5] and [4, 7], you can simplify them to [2, 7]. Additionally, remove any redundant elements, such as expressing (3, 5) ∪ (5, 7) simply as (3, 7) since the endpoints do not overlap. Always ensure that the final interval is expressed in the correct format, using parentheses for open intervals and brackets for closed intervals.
-4
0 < a < ∞
What is the interval notation of -1<5x+1<4
Yes.
It has to be interval notation
-4
Interval notation is a method of writing down a set of numbers. An example of this is all numbers that are greater than five.Ê
Why interval, notation cannot be used to represent instead of atomic masses
0 < a < ∞
What is the interval notation of -1<5x+1<4
The interval (-3, infinity).
Yes.
32
It has to be interval notation
In set notation, parentheses indicate that the endpoints of an interval are not included in the set, meaning it is an open interval. For example, the interval (a, b) includes all numbers greater than a and less than b but not a and b themselves. In contrast, brackets [a, b] denote a closed interval, where the endpoints are included. Thus, parentheses signify openness in the context of intervals.
Interval notation uses the symbols [ and ( to indicate closed an open intervals. The symbols can be mixed so that an interval can be open on one side and close on the other. Given two real numbers, a, b we can have (a,b) which is the interval notation for all numbers between a and b not including either one. [a,b) all numbers between a and b including a, but not b. (a,b] all numbers between a and b including b, but not a. [a,b] all number between a and b including a and b.
There is more than one notation, but the open interval between a and b is often written (a,b) and the closed interval is written [a,b] where a and b are real numbers. Intervals may be half open or half closed as well such as [a,b) or (a,b]. For all real numbers, it is (-infinity,+infinity), bit use the infinity symbol instead (an 8 on its side).