First of all, we have to know the equivalent decimal number to each of them.
![\begin{gathered} 4(2)/(3)=(4\cdot3+2)/(3)=(12+2)/(3)=(14)/(3)=4.66666\ldots \\ 4.7 \\ \sqrt[]{17}=4.12310\ldots \\ 4(3)/(4)=(4\cdot4+3)/(4)=(16+3)/(4)=(19)/(4)=4.75 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/vy9ov8pvjv2q5f6ju4yrmzof70tz07exed.png)
Notice that the interval is from 4.12310... to 4.75.
You can observe that 4.7 falls into this interval, and 4.666... also falls into this interval.
Therefore, the numbers Karla indicated fall into the interval she mentioned.
The answer is Fact.