The triangle is a right triangle, or a right triangle does not have a 90 -degree angle, if and only if it is not the case that the longest side of a triangle is \(c\) implies \(a+b\) must be \(>c\).

Given the true statements p: "A right triangle has one 90 -degree angle," \(q\) : "The triangle is a right triangle," \(r\) : " \(a^{2}+b^{2}=c^{2}\)," and \(s\) : "The longest side of a triangle is \(c\) implies \(a+b\) must be \(>c\)." Write each of the following compound statements in symbolic form, then construct a truth table to determine the truth value of the compound statement.