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asambeis [7]
3 years ago
12

Let a, b, and c be integers. Consider the following conditional statement:

Mathematics
1 answer:
Andrew [12]3 years ago
6 0

Step-by-step explanation:

Given that the logical statement is

<em>"If a divides bc, then a divides b or a divides c"</em>

we can see that a must divide one either b or c from the statement above

A) If a does not divide b or a does not divide c, then a does not divide bc.

This is False because a can divide b or c

 B) If a does not divide b and a does not divide c, then a does not divide bc.

this is True for a to divide bc it must divide b or c (either b or c)

C) If a divides bc and a does not divide c, then a divides b.

This is True since a can divide bc and it cannot divide c, it must definitely divide b

D) If a divides bc or a does not divide b, then a divides c.

This is True since a can divide bc and it cannot divide b, it must definitely divide c

E) a divides bc, a does not divide b, and a does not divide c.

This is False for a to divide bc it must divide one of  b or c

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