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kalliebjones4511
29.08.2019 •
Mathematics
For the following statement, write down the hypothesis and the conclusion, and then either prove the proposition, or find a counter-example to disprove it. if you prove the proposition, state which proof method you are using. "every integer greater than 0 can be written in the form 2k.m where k, m en and m is odd
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Ответ:
Counter-example is 1. There is no k or m ∈ Ν, m odd that makes the statement true for 1.
Step-by-step explanation:
integer = x
x > 0 ⇒ x = 2k.m k,m∈N and m odd
If x is 1, either k must be 1/2 or m must be 1/2, but they cannot be because the statement says k, m ∈ N. They must be natural.
This way, the statement is not true for every integer greater then 0.
Ответ:
x = 1 and x = -1
Step-by-step explanation:
the solutions here are just where the two lines intersect