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
