Category Archives: Discrete Mathematics

Conditional Statements and Logical Equivalencies

Utilize basic discrete mathematics principles to complete the following:

#1 A-D: For each statement determine if it is a conditional statement or not. If so, identify the hypothesis (P) and conclusion (Q).
#2 A-B: Construct truth tables to prove
#3 A-G: For each determine if logically equivalent to if x^3 – x = 2x^2 + 6, then x = -2 or x = 3, logically equivalent to the negation of the statement, or if it is neither. Justify each answer using basic logical equivalence theorems and rules.

No advanced arithmetic or shortcuts allowed. Please show all steps taken and provide clear and legible writing.

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