demonstrati ca daca a,b €N* a <b atunci a/b <a+1/b+1!Va rog!E pt maine!

Răspuns :

a,b €N* a < b
a/b < a+1/b+1 <=> a(b+1) < b(a+1) <=> ab+a<ab+b | -ab <=> a<b (Adevarat)