Answer
$-4 \lt x \lt 6$
Please see image
Work Step by Step
$-1 \lt 2x+7 \lt 19\qquad$ ...add $-7$ to each part of the inequality.
$-1-7 \lt 2x+7-7 \lt 19-7\qquad$ ...simplify.
$-8 \lt 2x \lt 12\qquad$ ...divide with $-2$.
$-4 \lt x \lt 6$
The solutions of the given inequality are all real numbers greater than $-4$ and smaller than $6$.
Use open dots in the graph to indicate $-4$ and $6$ are not solutions.
