Answer
Interval Notation: $(-∞,∞)$
Graph:
Work Step by Step
$|4x-11| \gt -1$
This absolute value inequality is always true for all values of $x$, because the absolute value expression is always positive or zero and also greater than $-1$. So, the solution set is $\{ x|x $ is a real number $ \}$.
Interval notation is $(-∞,∞)$.