A compound inequality is used to combined multiple inequalities.
- The compound inequality is: [tex]12 \le 6x \le 36[/tex].
- The solution to the compound inequality is: [tex]2 \le x \le 6[/tex]
We have:
[tex]12 \le A \le 36[/tex]
[tex]Length = 2x[/tex]
[tex]Width = 3[/tex]
The area of the rectangle is:
[tex]A = Length \times Width[/tex]
So, we have:
[tex]A =2x \times 3[/tex]
[tex]A = 6x[/tex]
Substitute 6x for A in [tex]12 \le A \le 36[/tex]
[tex]12 \le 6x \le 36[/tex]
Divide through by 6
[tex]2 \le x \le 6[/tex]
Hence,
- The compound inequality is: [tex]12 \le 6x \le 36[/tex].
- The solution to the compound inequality is: [tex]2 \le x \le 6[/tex]
Read more about compound inequalities at:
https://brainly.com/question/17957246
