QUESTION 7 Please arrange in a correct order steps of the given argument in logical form. "Everyone in New Jersey lives within 50 miles of the ocean. Someone in New Jersey has never seen the ocean. Therefore, someone who lives within 50 miles of the ocean has never seen the ocean." + (+) 3x(P(x) ^ Q(x)) Existential generalization of (%) + (%) P(c) ^ Q(c) Conjunction from ($), (&) + (&) There is x=c in the domain such that P() Universal instantiation (*) + (*) VxP(x) Hypothesis Let P(x) = "x lives within 50 miles of the ocean", and Q(x) = " x has never seen the ocean" with the domain of the variable consisting of all people who live in New Jersey. The argument in the logical form: "Everyone in New Jersey lives within 50 miles of the ocean"= VxP(x) "Someone in New Jersey has never seen the ocean" = 3xQ(x) Someone who lives within 50 miles of the ocean has never seen the ocean = 3x(P(x) A Q(x)) : (#) 3xQ(x) + ($) There is x=c in the domain for which Q(c) Existential instantiation (#)

Equations and inequalities describe the relationship between two mathematical expressions.

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.