**Unformatted text preview: **\ ( 19 - 30 Determine to love tore of False_ Prove the statement directly from`
the definitions if it is tome , and give a counter example if false.
20 ) The sum of any three consecutive images is divisible by 3. (Two
integers are consecutive if , and only if , one is more than the other.
( ox ) + ( a + 1 ) + ( 9 + 2 ) = ( 3 0 + 3 ) =\ 3 ( a + 1 )|
So the statement is true because 3 is the divisor we
are looking for and att can be an integer . ..!`
24 ) for all integers arb , and C , if albo and all than
a | ( 25 - 30 ) .
By definition of divisibility` we know that b = as and
C = as for some integers I and S. so 26 - 36 = 2car ) - 3 ( As )
- 2 ar - 3 95
`A = = = ( 25- 35)
Since { and } on both integers and I and I are both
interers , their products will be integers and the equation is
true by the definition of divinable
281 for all integers Garb , and `` if albe then all of all
FALSE. if a : 8 6 : 2, 6 : 4 \\
5 . 6: 8 4 160 is true but all and alc
are false...

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- Fall '19
- NoProfessor
- Addition, Negative and non-negative numbers, Prime number, Integral domain