## Algebra: A Combined Approach (4th Edition)

{$15,-7$}
Step 1: $|x-4|=11$ Step 2: Using the absolute value property, $x-4=11$ or $x-4=-11$ Step 3: $x-4+4=11+4$ or $x-4+4=-11+4$ Step 4: $x=15$ or $x=-7$ Step 5: Therefore, the solution set is {$15,-7$}.