The table below shows the values of predicate P(x,y) for eve…
The table below shows the values of predicate P(x,y) for every possible combination of values of the variables x and y. The row number indicates the value for x, and the column number indicates the value for y. The domain is {1,2,3}. P y=1 y=2 y=3 x=1 F F T x=2 T T T x=3 F T F Do the following: (i) Indicate whether each of the following statements is true or false. (ii) If false, then provide a negation of the statement that’s as simple as possible (i.e., move the negation as far inside the parentheses as possible). Don’t forget the negation(s)! part a: ∀ x ∃ y P ( x , y ) {“version”:”1.1″,”math”:”\forall x \exists y P(x,y)”} part b: ∃ y ∀ x P ( x , y ) {“version”:”1.1″,”math”:”\exists y\forall x P(x,y) “} part c: P ( 2 , 3 ) {“version”:”1.1″,”math”:”P(2,3)”} part d: ∀ y P ( 2 , y ) {“version”:”1.1″,”math”:”\forall y P(2,y) “} If you want partial credit for incorrect answers, then explain your answers and how you got them, thoroughly. It is intended that you be able to upload your work here and use whatever apps you need to do so. However, if you run into any issues doing so with Honorlock, you may email me your work or upload to “assignments”. Be sure that you have clearly labeled everything, and write something in the textbox so that I know (e.g. “I uploaded this problem to D2L and labeled it ‘problem 2 the problem about ____”).
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