For this case we have the following inequality:
[tex]6x-13 <6 (x-2)[/tex]
To find the solution we follow the steps below:
We apply distributive property on the right side of inequality:
[tex]6x-13 <6x-12[/tex]
Adding 13 to both sides of the inequality we have:
[tex]6x <6x-12 + 13\\6x <6x + 1[/tex]
We subtract 6x on both sides of the inequality:
[tex]0 <1[/tex]
Thus, we have that any value of "x" makes the inequality fulfilled. Thus, the solution is given by all real numbers.
Answer:
The solution set is (-∞,∞)
