Question

|x|-1 = 3

Answer 1

Have you considered adding 1?

Answer 2

\[\left| x \right|-1=3\rightarrow \left| x \right|=4 \]
thus
\[x =\pm4\]

Answer 3

so what would the solution set be

Answer 4

The entire problem was worked for you. The solution is given in its entirety.