4. In this problem, you will give an algebraic proof of the triangle inequality. (a) Show that for any w, z = C, |w+z1= ww + (wz + wz) + zz (b) Show that 2Re(wz) |w|||. (c) Use the results of (a) and (b) to prove that w +21 (|w| + 2) and note how the triangle inequality follows from this one.