Consider the statement, "If n is divirsible by 30 then is divirsible by 2 and by 3 and 5" which of the following statements is equivalent to this statement? A. If n is not divirsible by 30 then n is divisible by 2 or divisible by 3 or divisible by 5. B. If n is not divisible by 30 then n is not divisible by 2 or not divisible by 3 not divisible by 5. C. If n is divisible by 2 or divisible by 3 or divisible by 5 then n is divisibleby 30. D. If n is divisible by 2 and divisible 3 and divisible by 5 then n is by 30. E. If n is not divisible by 2 or not divisible by 3 or not divisible by 5 then n is not divisible by 30.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 18E
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Consider the statement, "If
is divirsible by
30 then is divirsible by 2 and by 3 and 5"
which
of
the following statements
is
equivalent to this statement?
A. If n is not divirsible by 30 then n
is divisible by 2 or divisible by 3 or
divisible by 5.
B. If n is not divisible by 30 then n is
not divisible by 2 or not divisible by
3 not divisible by 5.
O C. If n is divisible by 2 or divisible by 3
or divisible by 5 then n is
divisibleby 30.
D. If n is divisible by 2 and divisible 3
and divisible by 5 then n is by 30.
E. If n is not divisible by 2 or not
divisible by 3 or not divisible by 5
then n is not divisible by 30.
Transcribed Image Text:Consider the statement, "If is divirsible by 30 then is divirsible by 2 and by 3 and 5" which of the following statements is equivalent to this statement? A. If n is not divirsible by 30 then n is divisible by 2 or divisible by 3 or divisible by 5. B. If n is not divisible by 30 then n is not divisible by 2 or not divisible by 3 not divisible by 5. O C. If n is divisible by 2 or divisible by 3 or divisible by 5 then n is divisibleby 30. D. If n is divisible by 2 and divisible 3 and divisible by 5 then n is by 30. E. If n is not divisible by 2 or not divisible by 3 or not divisible by 5 then n is not divisible by 30.
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