Question: 4. In this problem, you will give an algebraic proof of the triangle inequality. (a) Show that for any w, z = C, |w+z1=

4. In this problem, you will give an algebraic proof of the triangle inequality. (a) Show that for any w, z EC, w + zl2 = ww

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.

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