Question

LET a,b belong to R SHOW that if a 12 years ago

Answer 1

Argue by contradiction. Suppose a > b. What would happen if we assume that?

Answer 2

that means a> b + 1/n

Answer 3

why?

Answer 4

no!! sorry it will be na>b that lead to a>b/n then b/n>a

Answer 5

Does it lead to any contradiction?

Answer 6

yes

Answer 7

no what I wrote it does not lead but I wrote like if I use the property

Answer 8

are you with me?

Answer 9

We want to get a contradiction to the given statement. A contradiction to that statement means that there is an integer m such that a> b + 1/m . How can we get such m ?

Answer 10

How?

Answer 11

I DO NOT KNOW I want to know that please

Answer 12

well we need to work backward. Suppose there is such m such that a > b+ (1/m). Then a-b > 1/m. Then m > 1/(b-a). How the archimedean property fit in this situation?

Answer 13

m > 1/(a-b) I meant

Answer 14

we will say m+b>a

Answer 15

no!!1

Answer 16

one min