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.