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:

Dominant Inheritance

A pattern of inheritance where an allele is expressed in the phenotype even in the presence of a different allele.

Reproductive Age

The period in an individual's life during which they are biologically capable of reproducing offspring.

Antibiotic Resistance

The capability of bacteria and other microbes to resist the effects of an antibiotic to which they were once sensitive, leading to the persistence and spread of infections.

Antibiotic Treatment

The use of drugs to kill or inhibit the growth of bacteria to treat bacterial infections.