*Discrete Math*

2. Equivalences (14 points) (1) show that (vi (pvp)) -y is a tautology (i.e. ("VApvp)) -y T). (a) (3 points) Show the equivalence using truth tables b) (4 points) Show the equivalence by establishing a sequence of equiv- alences. You can only use the equivalences in Table 6 and the first equivalence in Table 7. Show your work by annotating every step. (2) Show that-y (p^ r)s, ("V r) ^ (q V p) (a) (3 points) Show the equivalence using truth tables b) (4 points) Show the equivalence by establishing a sequence of equiv- alences. You can only use the equivalences in Table 6 and the first equivalence in Table 7. Show your work by annotating every step