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mathstudent1's latest activity
M
mathstudent1
replied to the thread
Can Natural Numbers m and n Satisfy x + 1/m < y - 1/n?
.
they said in question x<y , also i can found m and n but i do not know who i sketch the proof
Mar 31, 2024
M
mathstudent1
replied to the thread
Can Natural Numbers m and n Satisfy x + 1/m < y - 1/n?
.
yes i can take m=3 and n=2
Mar 31, 2024
M
mathstudent1
replied to the thread
Can Natural Numbers m and n Satisfy x + 1/m < y - 1/n?
.
you are right , then how i prove it ?
Mar 31, 2024
M
mathstudent1
replied to the thread
Can Natural Numbers m and n Satisfy x + 1/m < y - 1/n?
.
by archimedean property right ? there is n,m which are integers s.t n>1/y and 1/m>-1/x then 1/n<y and 1/m<-x , add them we will get...
Mar 31, 2024
M
mathstudent1
replied to the thread
Can Natural Numbers m and n Satisfy x + 1/m < y - 1/n?
.
i think my assumption is false i don ot know how i complete
Mar 30, 2024
M
mathstudent1
replied to the thread
Can Natural Numbers m and n Satisfy x + 1/m < y - 1/n?
.
i try but i do not know how to complete and i think my assumption is false
Mar 30, 2024
M
mathstudent1
replied to the thread
Can Natural Numbers m and n Satisfy x + 1/m < y - 1/n?
.
Mar 30, 2024
M
mathstudent1
posted the thread
Can Natural Numbers m and n Satisfy x + 1/m < y - 1/n?
in
Calculus and Beyond Homework Help
.
Let x, y ∈ R be such that x < y. Prove that there exist natural numbers m and n such that x +1/m < y −1/n?
Mar 30, 2024
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