Consider the Statement "The Square of Any Odd Integer Is $\forall$

question 6

Essay

Consider the statement "The square of any odd integer is odd."
(a) Rewrite the statement in the form $\forall$ ___ $n$ ,____. (Do not use the words "if" or "then.")
(b) Rewrite the statement in the form $\forall$ ______ $n$ , if ____then_____ (Make sure you use the variable $n$ when you fill in each of the second two blanks.)
(c) Write a negation for the statement.

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Definitions:

Average Total Cost

The overall expense of manufacturing, including both fixed and variable costs, divided by the amount of product made.

Extra Unit

Refers to an additional quantity of a good or service, often used in the context of calculating marginal costs or benefits.

Average Total Cost

The total cost of production (fixed plus variable costs) divided by the total quantity produced, indicating the cost per unit of output.

Marginal Cost

The increased expenditure resulting from manufacturing one more unit of a good or service.