Based on the fact that the angle is acute, we know that the expression [tex]6x - 45[/tex] must be between 0 and 90. This is shown as:
[tex]0 < 6x - 45 < 90[/tex]
We can now solve this inequality as shown below:
[tex]45 < 6x < 135[/tex]
[tex]\dfrac{15}{2} < x < \dfrac{45}{2}[/tex]
The inequality would be represented as 15/2 < x < 45/2.
