The correct option is .
Further explanation:
A compound inequality contains two or more inequalities such that they are separated by either “and” or “or”.
The Figure 1 (attached in the end) represents the compound inequality as and .
Now is excluded in the Figure 1 as the circle is hollow and is included in the Figure 1 as it is filled.
Option (1)
Here, the option (1) is or .
This represents that the value of lies in the interval as is excluded in or the value of lies in the interval as is included in .
But either one of the possibility is true as the option contains “or”.
So, option (1) is incorrect.
Option (2)
Here, the option (2) is and .
This represents that the value of lies in the interval as is excluded in and the value of lies in the interval as is included in .
Both the conditions of the given compound inequality is satisfied.
So, option (2) is correct.
Option (3)
Here, the option (3) is or .
This represents that the value of lies in the interval as is included in or the value of lies in the interval as is excluded in .
But neither one of the possibility is true as compared to the given compound inequality.
So, option (3) is incorrect.
Option (4)
Here, the option (4) is and .
This represents that the value of lies in the interval as is included in and the value of lies in the interval as is excluded in .
But neither one of the possibility is true as compared to the given compound inequality.
So, option (4) is incorrect.
Thus, the correct option is
Learn more
1. Learn more about the whole numbers are positive integers brainly.com/question/1852063.
2. Learn more about the adding and simplifying the numbers brainly.com/question/894273
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Number system
Keywords: Inequalities, compound inequality, interval, number line, real numbers, integers, whole numbers, open interval, closed intervals, semi closed intervals, semi-open intervals.