Table of contents About this material Challenge Participation 5. Number Theory I 63% I100% v 6. Combinatorics I 0% I100% v d snarl File Edit Wew History Bookmarks Develop wmquw Help a} Q' ll- ; Sun10:37PM q 9 a: a Full Sail, LLC Reasoning Fundammtll... (- REASDNING FUNDAMENTALS The negation operation can be applied to a quantied statement, such as 'IVX F(x). Ifthe domain for the variable x is the set of all birds and the predicate F(> nQ($)) 333513 (a?) /\\ nQL'vD 3:L'(P($) /\\ nQ(-'E)) 1.4 Find the negation of the statement and simplify using De Morgan's law Choose One -1 points "Some players did not enter the tournament and won a trophy'" All players entered the tournament and won a trophy All players entered the tournament and did not win a trophy All players entered the tournament or won a trophy All players entered the tournament or did not win a trophy 1.5 Find the negation of the statement and simplify using De Morgan's law Choose One -'I points "All players did not enter the tournament or won a trophy" Some players entered the tournament and won a trophy There exists one player who entered the tournament and did not win a trophy All players entered the tournament and did not win atrophy Every player did not enter the tournament and won a trophy 2i Nested Quantifiers Group - 5 questions The table below shows the value of a predicate P(:c, y) for every possible combination of values of the variables a: and y. The row number indicates the value for x and the column number indicates the value for y. For example, P(7,2) = F, because the value in row 7, column 2, is F. P y=1 y=2 y=3 x=1 T F T 32:2 T F T 1'23 T T F \f\f\f\f\f\f\f\f\f\f\f\f5.4 Determine a valid conclusion for the following argument Choose all that apply - 1 points fl work out hard, then lam sore. fl am sore, then I take an aspirin. did not take an aspirin. l. | 2. | 3. | Therefore, I worked out hard Therefore, I did not work out hard Therefore, I am sore Therefore, I am not sore Therefore, I took an aspirin \f