Question

If a>b and x>0 prove that (a+x)/(b+x)<a/b​

Answer 1

Answer:

Let us assume that the above equation is true:

$\frac{(a + x)}{(b + x)} < \frac{a}{b} \\ b(a + x) < a(b + x) \\ ab + bx < ab + ax \\ bx < ax \\ b < a \: \: \: \: (which \: is \: true)$

Hence proved.

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