Answer
Solution in interval notation:
$(-2,5]$
See graph below.
Work Step by Step
We are asked to solve the inequality:
$-6\lt x - 4 \le 1$
To obtain the solution, we need to isolate $x$.
We add $4$ to all sides:
$-6+4\lt x - 4+4 \le 1+4$
$-2\lt x \le 5$
In interval notation, this can be written as:
$(-2,5]$
See the graph of the inequality below.
