Fill in each of these four blanks with either true or false to make all statements true. The statement $$x P$($x$)$ is true when for every x$,$ P$($x$)$ is

$.$ It is false when there is an x for which P$($x$)$ is

$.$ The statement $$x $$P$($x$)$ is true when for every x$,$ P$($x$)$ is

$.$ It is false when there is an x for which P$($x$)$ is