Compound inequalities is the combination of two inequalities in one inequality.
- The compound inequality is: [tex]5 \le x \le 50[/tex].
- All solutions of x are viable
Given that:
[tex]100 \le A \le 1000[/tex]
The area (A) of the rectangle is calculated as follows:
[tex]A = Length \times Width[/tex]
So, we have:
[tex]A = 4x \times 5[/tex]
[tex]A = 20x[/tex]
Substitute 20x for A in [tex]100 \le A \le 1000[/tex]
So, we have:
[tex]100 \le 20x \le 1000[/tex]
Divide through by 20
[tex]100/20 \le x \le 1000/20[/tex]
[tex]5 \le x \le 50[/tex]
Split the above inequality
[tex]5 \le x[/tex] and [tex]x \le 50[/tex]
Rewrite as:
[tex]x \ge 5[/tex] and [tex]x \le 50[/tex]
This means that the values of x is from 5 to 50
All solutions of x are viable
Read more about compound inequalities at:
https://brainly.com/question/13290962
