The graph of the parabola x=y^2 is a function X --- > Y only when: {Ans: y is positive ???}Which is a true statement in logic? {Ans: There are statements that are always true}All students study hard. All who study hard pass the logic exam. _______________ Therefore, all students pass the logic exam. As we know the conclusion is not true, What went wrong with this argument? {Ans: both premises are false}completeness of tableaux method means that {Ans: every tautology is provable true by the tableaux method}A = Z B = Z Let R be the following relation on A and B: a R b if a > b. Which of the pairs below are not in this relation? (5,7) (-5,-15) (500,0) (-7, -8) (-5,-7) (5,4) (0,-1) (1,0) (1000,-4) {Ans: (5,7)}F E Q(x) F Q(a) this rules for quantifiers means {Ans: that the variable x in the formula Q with a quantifier can be substituted with some specific a to make Q a false logic sentence}