Need help with math ASAP

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DQ1

Suppose a job posting states, “Applicants must have one to two years teaching experience in K-12 and a teaching certification or have a graduate degree.”   Could you interpret this job description in different ways? Why or why not? Use propositional logic, set theory or Venn diagrams as support. 

 

DQ2

This is a tautology, fallacy or contradiction can also occur in a truth table. Need example(s) of a truth table that shows a fallacy or contradiction 

 

DQ3

From an implication perspective (i.e. if then or “p –> q”), we can establish a converse, inverse, and contrapositive relationship. 
If I give you the following statements:
If I own a iphone smart phone, then I don’t own an droid.
Provide the converse, inverse, and contrapositive relationships here based upon the given statement. 

DQ4

When doing truth tables, a result can occur called a tautology. What is a tautology? Please provide an example of a resulting truth table that yields a tautology. Show all steps of the truth table 

DQ5

As we were introduced to a tautology, a fallacy or contradiction can also occur in a truth table. Provide example(s) of a truth table that shows a fallacy or contradiction 


 

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