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

question 4

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 $x , x < y$ .

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Definitions:

Current Liability

Financial obligations a company is required to pay within a year.

Product Warranty Expense

Costs associated with repairing or replacing defective products under warranty.

Replacement Warranty

A guarantee provided to a purchaser of a product that a defective item will be replaced within a specified period of time.

Unfunded Pension Liability

A pension obligation for which sufficient assets have not been set aside, representing a potential future liability for the employer.