Given:
Price of each share = $3.75
Total amount invertor has = $800
To find:
The inequality that can be solved to show the number of shares s he can buy.
Solution:
Let x be the number of shares he can buy.
Price of 1 share = $3.75
Price of x shares = $3.75x
An investor has $800.
The price of x shares must be less than or equal to the amount he has. So,
![3.75x\leq 800](https://img.qammunity.org/2021/formulas/mathematics/college/lovhmd01uzrht7b9bnlp6pl35brevhsml6.png)
Divide both sides by 3.75.
![x\leq (800)/(3.75)](https://img.qammunity.org/2021/formulas/mathematics/college/ij6jtopzac5tfwxa4j3ym5ajm3pswgo86f.png)
![x\leq 213.33...](https://img.qammunity.org/2021/formulas/mathematics/college/9cdsqa7hdgi5pi52mu43uvilavh02xa9as.png)
So, the maximum possible integer value of x is 213.
Therefore, the equation inequality is
and he can buy 213 shares.