Question Number 126538 by Ndala last updated on 21/Dec/20
$${if}\:\:{a}+{b}\geqslant{c}>\mathrm{0} \\ $$$${Prove}\:{that}\:\frac{{a}}{\mathrm{1}+{a}}+\frac{{b}}{\mathrm{1}+{b}}>\frac{{c}}{\mathrm{1}+{c}} \\ $$$$. \\ $$$$\mathrm{I}\:\mathrm{need}\:\mathrm{your}\:\mathrm{help},\:\mathrm{please}! \\ $$
Commented by MJS_new last updated on 21/Dec/20
$${a}+{b}\geqslant{c}>\mathrm{0}\:\mathrm{means}\:{a}\:\mathrm{xor}\:{b}\:\mathrm{could}\:\mathrm{be}\:<\mathrm{0}\:\mathrm{i}.\mathrm{e}. \\ $$$${a}=\mathrm{5},\:{b}=−\mathrm{3},\:{c}=\mathrm{1} \\ $$$$\mathrm{or}\:{a}>\mathrm{0}\wedge{b}>\mathrm{0}? \\ $$
Commented by Ndala last updated on 21/Dec/20
$${a},{b}\in\mathrm{R} \\ $$$$\mathrm{Can}\:\mathrm{you}\:\mathrm{help}\:\mathrm{me}? \\ $$