Question

Question 1 5 pts Each statement on the left has a negation on the right. Match the negations. All variables refer to real numbers. In the quantified statements, I have had to use A for and E for 3. For all y, there is an x such that xy #y [Choose] Choo For each x there is some y such that xy y [Choose] For every x, y either x<yory<x [Choose] For all x there is a y such that xsy and yex Choose

Answer 1

Statement : Negation . For all y, There exists there is an a y, such that such for all that nyty. a, xy=y t Statement there is some y such that for each a xy + y There exists Negation : x, such that for all y , xyzy o Statement Negation : : for every x, y , either xay There exists x,y such that nor yex (ie.x=y). or yer neither xay statement : for all & there is a y such that aay and y en Negation There enists x such that either xay alone or yen none of them so happens ( r for all alone o y or ).