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 byMJS_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 byNdala last updated on 21/Dec/20 | ||
$${a},{b}\in\mathrm{R} \\ $$ $$\mathrm{Can}\:\mathrm{you}\:\mathrm{help}\:\mathrm{me}? \\ $$ | ||