Mathematics, 08.10.2020 14:01 Crxymia
Let a, b, and c be integers. Consider the following conditional statement:
If a divides bc, then a divides b or a divides c
Which of the following statements have the same meaning as this conditional statement, which ones are the negations, and which ones are not neither? Justify your answers using logical equivalences or truth tables.
A) If a does not divide b or a does not divide c, then a does not divide bc.
B) If a does not divide b and a does not divide c, then a does not divide bc.
C) If a divides bc and a does not divide c, then a divides b.
D) If a divides bc or a does not divide b, then a divides c. (e) a divides bc, a does not divide b, and a does not divide c.
Answers: 3
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Let a, b, and c be integers. Consider the following conditional statement:
If a divides bc, then a...
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