Answer:
Inequality:
![5x+6\geq 31](https://img.qammunity.org/2021/formulas/mathematics/high-school/gxnmqkqdh1i7jqe9ypbiqaibe3o8ihpkpd.png)
Solution:
![x\geq 5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/pe3fxfn85pesfqg9a074995ixmwxw3mesv.png)
Explanation:
"Six more" is asking you to add 6, so add 6 to 5 times x.
"At least" means equal or greater than, so the inequality has to be equal or greater than 31.
To solve for x, subtract 6 from both sides of the inequality to get
![5x\geq 25](https://img.qammunity.org/2021/formulas/mathematics/high-school/43tynnl4ukqhrxicb756guff5yxyf2xq8n.png)
Then divide both sides by 5 to get
![x\geq 5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/pe3fxfn85pesfqg9a074995ixmwxw3mesv.png)