For this case we can start with the first part of the inequality and we have:
![16<5x+1](https://img.qammunity.org/2023/formulas/mathematics/college/e09cuh21twz4bn9ihv8j8zz7onv7xbzkyx.png)
We can subtract 1 in both sides and then divide by 5 and we got:
![(15)/(5)And that's equivalent to:[tex]x>3](https://img.qammunity.org/2023/formulas/mathematics/college/n5qp9zanfan54bb6hbkt2oordk8k2xdm7m.png)
And for the second part of the inequality we got:
![3x<6-9](https://img.qammunity.org/2023/formulas/mathematics/college/gmav5yeoempe3fezr8xh23gs3hsrica708.png)
And dividing both sides by 3 we got:
![x<-1](https://img.qammunity.org/2023/formulas/mathematics/college/4fldwmgsvsda6vx9rud06z1elrfpec0ehn.png)
And then the solution for this case would be:
x>3 or x<-1