Solve the inequality 1/4|x-3|-2< 1 and then write the solutions in inequality notation

Alex drew a circle with right triangle prq inscribed in it, as shown below: the figure shows a circle with points p, q, and r on it forming an inscribed triangle. side pq is a chord through the center and angle r is a right angle. arc qr measures 80 degrees.

Can someone check if i did this correct. it’s number 4 if you’re wondering.

How do you solving the solution of each system using elimination?