Answer
$(-∞,-4)U(10,∞)$
Work Step by Step
We are given that $|y-3|\gt7$. Therefore, $y-3\gt7$ or $y-3\lt-7$.
We can solve both of these inequalities to find solutions.
For $y-3\gt7$, add 3 to both sides.
$y\gt10$
For $y-3\lt-7$, add 3 to both sides.
$y\lt-4$
Therefore, the solution set consists of all values of x that are less than -4 or greater than 10.
