Mathematics
Mathematics, 25.02.2020 21:22, bobiscool3698

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 and which ones are negations of this conditional statement? The note for Exercise (10) also applies to this exercise. (a) If a divides b or a divides c, then a divides bc. (b) If a does not divide b or a does not divide c, then a does not divide bc. (c) a divides bc, a does not divide b, and a does not divide c. * (d) If a does not divide b and a does not divide c, then a does not divide bc. (e) a does not divide bc or a divides b or a divides c. (f) If a divides bc and a does not divide c, then a divides b. (g) If a divides bc or a does not divide b, then a divides c.

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Let a, b, and c be integers. Consider the following conditional statement: If a divides bc, then a d...

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