Answer:
The inequality which represents the possible values of w is w < 8.
Explanation:
A rectangle has two dimensions, the length(l) and the width(w).
The area of a rectangle is:
![A = lw](https://img.qammunity.org/2021/formulas/mathematics/middle-school/oazznmd3sq3fpslp64e7wts22023rc4sas.png)
In this question, we have that:
![l = 8, A < 64](https://img.qammunity.org/2021/formulas/mathematics/high-school/zra51y39hrbc3euss5u8ujhx4gc4tj88dg.png)
So
![lw < 64](https://img.qammunity.org/2021/formulas/mathematics/high-school/mch5q9cbrgrmxscn1vz4xrfmmng335ee9v.png)
![8w < 64](https://img.qammunity.org/2021/formulas/mathematics/high-school/m8ye4ul4okk8ft19x6nir0eoemoo09rvif.png)
![w < (64)/(8)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ha9nbwobexps8w5wxnuxm4mxyck8pvhgrq.png)
![w < 8](https://img.qammunity.org/2021/formulas/mathematics/high-school/8zxkcp7hdetyaupuf8psviy0j6k168rsma.png)
The inequality which represents the possible values of w is w < 8.