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Question Number 126538 by Ndala last updated on 21/Dec/20

if  a+b≥c>0  Prove that (a/(1+a))+(b/(1+b))>(c/(1+c))  .  I need your help, please!

$${if}\:\:{a}+{b}\geqslant{c}>\mathrm{0} \\ $$ $${Prove}\:{that}\:\frac{{a}}{\mathrm{1}+{a}}+\frac{{b}}{\mathrm{1}+{b}}>\frac{{c}}{\mathrm{1}+{c}} \\ $$ $$. \\ $$ $$\mathrm{I}\:\mathrm{need}\:\mathrm{your}\:\mathrm{help},\:\mathrm{please}! \\ $$

Commented byMJS_new last updated on 21/Dec/20

a+b≥c>0 means a xor b could be <0 i.e.  a=5, b=−3, c=1  or a>0∧b>0?

$${a}+{b}\geqslant{c}>\mathrm{0}\:\mathrm{means}\:{a}\:\mathrm{xor}\:{b}\:\mathrm{could}\:\mathrm{be}\:<\mathrm{0}\:\mathrm{i}.\mathrm{e}. \\ $$ $${a}=\mathrm{5},\:{b}=−\mathrm{3},\:{c}=\mathrm{1} \\ $$ $$\mathrm{or}\:{a}>\mathrm{0}\wedge{b}>\mathrm{0}? \\ $$

Commented byNdala last updated on 21/Dec/20

a,b∈R  Can you help me?

$${a},{b}\in\mathrm{R} \\ $$ $$\mathrm{Can}\:\mathrm{you}\:\mathrm{help}\:\mathrm{me}? \\ $$

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