1 votes 1 votes $P\left ( x,y \right )\Rightarrow x+y=10$ State true/false 1.$\exists x\, \forall y \, \, P\left ( x,y \right )$. 2.$\forall y\, \exists x\, \, P\left ( x,y \right )$ if im wrong plz correct me....... dileswar sahu asked Sep 20, 2016 edited Sep 22, 2016 by sourav. dileswar sahu 305 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 2 votes 2 votes In Statement 1 value of x should be constant for every y and it should be independent of inner variable which is FALSE here. x=10-y for every y value there is no fixed x which can satisfy every time this condition. In Statement 2 value of x keeps on changing for every y here. x=10-y for any value of y we get some x for which it is TRUE. we can observe that Statement 1 is more stricter then statement 2. Nishant Arora answered Sep 24, 2016 selected Sep 24, 2016 by vijaycs Nishant Arora comment Share Follow See all 0 reply Please log in or register to add a comment.