Answer
Solution in interval notation:
$(3,5)$
See graph below.
Work Step by Step
We are asked to solve the inequality:
$6\lt x + 3 \lt 8$
To obtain the solution, we need to isolate $x$.
We subtract $3$ from all sides:
$6-3\lt x + 3 -3 \lt 8-3$
$3\lt x \lt 5$
In interval notation, this can be written as:
$(3,5)$
See the graph of the inequality below.
