Respuesta :
Notations are arbitrary, and you might find different textbooks using different notations.
However, the most common alternatives are:
- Using square brackets for included values, and round brackets for excluded values. In this case, your interval is [-3, 5]
- Using round brackets alone, open towards the number if its included. In this case, your interval is (-3, 5)
For example, if -3 wasn't included, the two notations would have been (-3, 5] and )-3, 5)
The interval notation is [-3,5] to indicate all real numbers between and including -3 and 5.
What is theory of Interval notation in number system ?
Interval notation is a way of writing subsets of the real number line. Intervals are written with rectangular brackets or parentheses, and two numbers delimited with a comma. The two numbers are called the endpoints of the interval. The number on the left denotes the least element or lower bound. The number on the right denotes the greatest element or upper bound.
What is open and closed interval and representing it ?
- An open interval does not include its endpoints, and is indicated with parentheses. For example, (0,1) means greater than 0 and less than 1.
- A closed interval is an interval that includes all of its limit points. If the endpoints of the interval are finite numbers and , then the interval is denoted as closed. For example, [0,5] means greater than equal to 0 and less than equal to 5.
For the given problem, we have to represent real numbers between -3,5 both including , thus the required interval is [-3,5] .
Thus, the required interval notation in number system is [3,-5] .
To learn more about Interval notation in number system , refer -
https://brainly.com/question/26025356
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