Consider these four statements: A: For all integers a, b, and c, if a | b and a | c then a|(2b – 3c). B: For all integers a, b, and c, if a is a factor of c and b is a factor of c then ab is a factor of c. C: For all integers a, b, and c, if a | (b+c) then a | b or a | c. D: A sufficient condition for an integer to be divisible by 8 is that it be divisible by 16. Only B and D are true. Only A and D are true. Only A and B are true. Only A, B and D are true. Only A, C and D are true. Only D is true.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider these four statements:
A: For all integers a, b, and c, if a | b and a | c then a|(2b – 3c).
B: For all integers a, b, and c, if a is a factor of c and b is a factor of c then ab is a factor of c.
C: For all integers a, b, and c, if a | (b+c) then a | b or a | c.
D: A sufficient condition for an integer to be divisible by 8 is that it be divisible by 16.
Only B and D are true.
Only A and D are true.
Only A and B are true.
Only A, B and D are true.
Only A, C and D are true.
Only D is true.
Transcribed Image Text:Consider these four statements: A: For all integers a, b, and c, if a | b and a | c then a|(2b – 3c). B: For all integers a, b, and c, if a is a factor of c and b is a factor of c then ab is a factor of c. C: For all integers a, b, and c, if a | (b+c) then a | b or a | c. D: A sufficient condition for an integer to be divisible by 8 is that it be divisible by 16. Only B and D are true. Only A and D are true. Only A and B are true. Only A, B and D are true. Only A, C and D are true. Only D is true.
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