To solve the inequality 5x+8>−12 and write the answer in inequality notation, follow these steps:

1. Isolate the variable term: Subtract 8 from both sides of the inequality.

   5x+8−8>−12−8
   
   5x>−20

2. Solve for the variable: Divide both sides by 5. Since you are dividing by a positive number, the inequality sign remains the same.

   5x/5​>20/5

​x>−4

The solution in inequality notation is x>−4.