Answer
Set notation: $\quad\{x|x<7\}$
Interval notation:$\quad(-\infty ,7)$
The graph is shown below.
Work Step by Step
The given inequality is
$x-6<1$
Add $6$ to both sides.
$x-6+6<1+6$
Simplify.
$x<7$
The solution set is $\{x|x<7\}$
or interval notation is $(-\infty ,7)$
To graph, use a close parenthesis at $7$, then shade the region to its left.
