2 Recall the absolute value of a R defined by al a a In

Last updated: 4/19/2023

2 Recall the absolute value of a R defined by al a a In lecture we proved the triangle inequality a 20 a 0 a b a b a beR a Review the proof of the triangle inequality as long as you need to until you can write it down without looking at your notes b Show that the triangle inequality can be written as la b a b a b R c Show that b a a b a d Show that b a a b a e Prove the reverse triangle inequality ab la b a b R f Prove a b c a b c for a b c ER by applying the triangle inequality twice Hence for n EN numbers a 02 an use induction to prove