We have the following inequality:
![13(x-6)>2](https://img.qammunity.org/2023/formulas/mathematics/college/g9t3tooy9nf8mo4jcrlhbmtltdv7y2clh8.png)
and we need to solve for x.
Then, by dividing both sides by 13, we have
![x-6>(2)/(13)](https://img.qammunity.org/2023/formulas/mathematics/college/iehp9a63ghhq0n558t5bp9izw35gnixceh.png)
and by adding 6 to both sides, we obtain
![x>(2)/(13)+6](https://img.qammunity.org/2023/formulas/mathematics/college/vfbzvrgwg4k5i3xmuxb40j1w4z9dq3omtm.png)
which can be written as
![x>(2)/(13)+(78)/(13)](https://img.qammunity.org/2023/formulas/mathematics/college/5wa3yc93zm91iowna3h44ty48ivg8mwh9b.png)
so, we can add the fractions and get
![x>(80)/(13)](https://img.qammunity.org/2023/formulas/mathematics/college/vdmqvw9m67beo8f9bz14ace4la0xqo0svd.png)
Finally, by converting this result into mixed fraction form, we have
![x>6(2)/(13)](https://img.qammunity.org/2023/formulas/mathematics/college/25uttg0g5qgpv4foozy7g572olqb96zvxj.png)
Therefore, the answer is: x is greater than 6.