2. Let Z be the set of integers. Consider the sentence \"There exists $t \in Z$ such that
$t \cdot x = 20$.\"
(a) Explain why the sentence is not a statement.
(b) If $x = 10$, does that make it a statement? If not, explain why not. If so, determine
whether it is true or false and justify your answer.
(c) If $x = 8$, does that make it a statement? If not, explain why not. If so, determine
whether it is true or false and justify your answer.
(d) Determine all integer values of $x$ that make the sentence a true statement. Explain
both why your values make it true and why all other integer values do not make
it true. Remember that integers can be positive or negative.