For Each of the Following Statements, (1) Write the Statement $\forall$

Essay

For each of the following statements, (1) write the statement informally without using variables or the symbols $\forall$ or $\exists$ , and (2) indicate whether the statement is true or false and briefly justify your answer.
(a) $\forall$ real numbers $x , \exists$ a real number $y$ such that $x < y$ .
(b) $\exists$ a real number $y$ such that $\forall$ real numbers $x , x < y$ .