Answer
Solution in interval notation:
$(2,6)$
See graph below.
Work Step by Step
We are asked to solve the inequality:
$7\lt x + 5 \lt 11$
To obtain the solution, we need to isolate $x$.
We subtract $5$ from all sides:
$7-5\lt x + 5-5 \lt 11-5$
$2\lt x \lt 6$
In interval notation, this can be written as:
$(2,6)$
See the graph of the inequality below.
