The initial expression is:
9 < 4x + 3 < 11
We need to isolate the x, so we subtract 3 as follows:
9 - 3 < 4x + 3 - 3 < 11 - 3
6 < 4x < 8
Then, we divide by 4 as:
[tex]\begin{gathered} \frac{6}{4}<\frac{4x}{4}<\frac{8}{4} \\ 1.5It means that x is a number between 1.5 and 2. This is model in a number line as:
Where the green zone is the solution.
Answer: 1.5 < x < 2