Consider the following statement. Is there an integer that has a remainder of 2 when it is divided by 5 and a remainder of 3 when it is divided by 6? (Note: There are integers with this property. Can you think of one?) Fill in the blanks to express this statement in ways that use a variable. (a) Is there an integer n such that n has -Ŝelect-- (b) Does there exist -Select- such that if n is divided by 5 the remainder is 2 and if -Select-
Consider the following statement. Is there an integer that has a remainder of 2 when it is divided by 5 and a remainder of 3 when it is divided by 6? (Note: There are integers with this property. Can you think of one?) Fill in the blanks to express this statement in ways that use a variable. (a) Is there an integer n such that n has -Ŝelect-- (b) Does there exist -Select- such that if n is divided by 5 the remainder is 2 and if -Select-
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:Consider the following statement.
Is there an integer that has a remainder of 2 when it is divided by 5 and a remainder of 3 when it is divided by 6? (Note: There are integers with this property. Can you think of one?)
Fill in the blanks to express this statement in ways that use a variable.
(a) Is there an integer n such that n has -Ŝelect--
(b) Does there exist -Select-
such that if n is divided by 5 the remainder is 2 and if -Select-
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