(1) Show that $( eg q \wedge (p \vee p)) ightarrow eg q$ is a tautology (i.e. $( eg q \wedge (p \veep)) ightarrow eg q \equiv T)$. (a) (3 points) Show the equivalence using truth tables (b) (4 points) Show the equivalence by establishing a sequence of equivalences. 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 $ eg q ightarrow(p \wedge r) \equiv( eg a ightarrow r \wedge (q\vee p) $ (a) (3 points) Show the equivalence using truth tables (b) (4 points) Show the equivalence by establishing a sequence of equivalences. You can only use the equivalences in Table 6 and the first equivalence in Table 7. Show your work by annotating every step. CS.PB.006