Part 2: Each problem below consists of an argument and a logical proof that proves that the argument is valid. Write the justification for each step in the logical proof. (a) pqqrr (b) p(qr) pq Part 3: Each problem below consists of an argument expressed in English, the form of the argument, and a logical proof that proves that the form of the argument is valid. Write the Justification for each step in the logical proof. (a) The domain is the set of people who live in a city. Linda lives in the city. Linda lives in the city. Linda owns a Ferrari. Everyone who owns a ferrari has gotten a speeding ticket. i. Linda has gotten a speeding ticket. We define the following predicates: - F(x):x owns a ferrari - S(x):x has gotten a speeding ticket The form of the argument is: Unda lives in the city F(tunda) i.S(inda)x(F(x)S(x)) Logical Proof: (b) The domain is the set of students at an elementary school. Every student who has a permission slip can g0 on the field trip. Every student has a permission silip. . Every student can go on the leld trip. We define the following predicates: - P(x):x has a permission slip - F(x) : x can go on the field trip The form of the argument is: x(P(x)F(x))xP(x)xF(x) Logical Proof