Final answer:
The width of the rectangle is less than 13 units.
Step-by-step explanation:
To solve this problem, we can set up an equation using the given information.
Let's say the width of the rectangle is 'w'.
According to the problem, the length of the rectangle is eight more than twice its width, so the length is 2w + 8.
We are also given that the length is less than 34.
Putting all this together, we can write the equation: 2w + 8 < 34.
Now we can solve for 'w'.
Subtracting 8 from both sides of the equation, we have 2w < 26.
Dividing both sides by 2, we get w < 13.
Therefore, the width of the rectangle is less than 13.
So, the width of the rectangle is less than 13 units.