Answer
$(-\infty ,1)$
Work Step by Step
$7x\lt6x+1$
Solve for x by subtracting 6x from each side of the equation.
$7x-6x\lt6x+1-6x$
$x\lt1$
This is written in interval notation as $(-\infty , 1)$
The use of ) indicates that the possible values of x approach 1, but 1 itself is not in the set of possible values for x.