Mathematics
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OpenStudy (ibrafacts):
If k is an even integer, which of the following must be an odd integer?
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OpenStudy (ibrafacts):
a. k + 2
b. 3k
c. 3k + 2
d. k(k - 1)
e. (k + 1) (k - 1)
OpenStudy (ibrafacts):
how would i do this?
OpenStudy (anonymous):
And even + an even is always an even
OpenStudy (ibrafacts):
so c
OpenStudy (anonymous):
That gets rid of one answer, you have to get rid of the rest
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OpenStudy (ibrafacts):
oh d
OpenStudy (ibrafacts):
because an even times an even is always an even so u substract 1
OpenStudy (anonymous):
it's E
OpenStudy (anonymous):
One way to solve it is by assuming that k is 2, since 2 is even, and testing mit in all the equations
OpenStudy (ibrafacts):
okay thank you
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OpenStudy (ibrafacts):
so all it has to do is end up odd right?
OpenStudy (anonymous):
Yes
OpenStudy (anonymous):
1 is odd and odd plus even is always odd
OpenStudy (welshfella):
3 times an even number is also even
OpenStudy (anonymous):
If odd is O and even is E, then
O + E = O
E + E = E
O + O = E
O x O = O
O x E = E
E x E = E
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OpenStudy (welshfella):
expand the last one
(k + 1)(k - 1) = k^2 - 1
even or odd? if k is even
OpenStudy (ibrafacts):
me?
OpenStudy (welshfella):
k^2 - 1 must be odd because k^2 will always be even
OpenStudy (anonymous):
\[k ^{2}\] is even, but \[k ^{2}-1 \] is odd
OpenStudy (ibrafacts):
the whole problem is odd right? because its zero if u solve it all
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OpenStudy (anonymous):
\[2^{2}\] is 4