Chapter 3.3, Problem 44ES

(a)

To determine

To find: Whether the statement “ $\exists !$ real number $x$ such that $\forall$ real numbers $y$ , $xy=y$ ” is true or false.

(b)

To determine

To find: Whether the statement “ $\exists !$ integer $x$ such $\frac{1}{x}$ is an integer” is true or false.

(c)

To determine

To find: Whether the statement $\forall$ real numbers $x$ such real $y$ such that $x+y=0$ is true of false.