Answer:
![x+y\geq 6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gk7q3r1cu68a3d2r7kaflrcge5y2j8ynuj.png)
Explanation:
Let x be the no. of pennies
Let y be the no. of nickels
We are given that His brother told him to take out at least 6 coins from his piggy bank.
So, he is allowed to take 6 or more than 6 coins
So, equation becomes :
![x+y\geq 6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gk7q3r1cu68a3d2r7kaflrcge5y2j8ynuj.png)
Hence inequality models this situation is
![x+y\geq 6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gk7q3r1cu68a3d2r7kaflrcge5y2j8ynuj.png)