I have the following two questions.
- For all real numbers x, there is a real number y such that $2x+y=7$ would this be true or false?
I think true because if you put
$2(8)+y=14$ there will always be a specific y that will make it work is this logic correct.
- There is a real numbers x that for all real number y, $2x+y=7$ will be true.
would this be false because if you say $x=6$
then you get
only if $y=2$ would it work but it would not work for every y.