Inequalities (1 Viewer)

king.rafa

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if
b > a
1/n < b - a
p/n < a

prove that (p+1)/n < a

thanks
 
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lolokay

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if b = 200, n = 0.01, p = 0.0001

1/0.01 = 100 < 200 - 1
0.0001/0.01 < 1
(0.0001 + 1)/0.01 < 1 (if true)
1.0001 < 0.01
which clearly isn't true, so there's something wrong with the question

I suppose the < a was meant to be < b? in which case you just add the inequalities
 

tommykins

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king.rafa said:
if
b > a
1/n < b - a
p/n < a

prove that (p+1)/n < a

thanks
One way to do it is add the 2nd and 3rd line - leading to
1/n < b-a
p/n < a

(1+p)/n < b but this would only work if a>b, but b>a so you cant replace the b with an a.

Either question is wrong or I have no idea.
 

lolokay

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yeah it was probably supposed to be a>b
 

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