Answer:
(In Interval Notation:
)
Step-by-step explanation:
Given the following binomial:
![5x+3](https://tex.z-dn.net/?f=5x%2B3)
You know that if this binomial is in the interval:
![(-6, -2)](https://tex.z-dn.net/?f=%28-6%2C%20-2%29)
It must be:
![-6](https://tex.z-dn.net/?f=-6%3C5x%2B3%3C-2)
Therefore, in order to find for what values of "x" the binomial
belongs to the given interval, you need to solve the inequality.
Then, you get:
![-6](https://tex.z-dn.net/?f=-6%3C5x%2B3%3C-2%5C%5C%5C%5C-6-3%3C5x%3C-2-3%5C%5C%5C%5C-9%3C5x%3C-5%5C%5C%5C%5C%5Cfrac%7B-9%7D%7B5%7D%3Cx%3C%5Cfrac%7B-5%7D%7B5%7D%5C%5C%5C%5C-1.8%3Cx%3C-1)
Now, you can write this in Interval notation.
Since it is an Open Interval, you must use parentheses. Then, this is:
![(-1.8,-1)](https://tex.z-dn.net/?f=%28-1.8%2C-1%29)
Answer:
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