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,
[tex]3.75x\leq 800[/tex]
Divide both sides by 3.75.
[tex]x\leq \dfrac{800}{3.75}[/tex]
[tex]x\leq 213.33...[/tex]
So, the maximum possible integer value of x is 213.
Therefore, the equation inequality is [tex]3.75x\leq 800[/tex] and he can buy 213 shares.