Question: a. Show that -p - (g - r) and q (p vr) are equivalent by using Truth table. b. Show that -p - (q

a. Show that -p - (g - r) and q (p vr)

a. Show that -p - (g - r) and q (p vr) are equivalent by using Truth table. b. Show that -p - (q -r) and q- (pvr) are equivalent by using Logical equivalence. (Hint: Use p - q =-pvq) c. Translate these statements into English, Vx(R(x) H(x)), 3x(R(x) A H(x)) where R(x) is "x is a rabbit" and H(x) is "x hops" and the domain consists of all animals. Jse the following list of Latex symbols while typing Symbol Latex Symbol eg \vee \wedge L\equiv V. II

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