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Question-145626




Question Number 145626 by mathdanisur last updated on 06/Jul/21
Commented by mr W last updated on 06/Jul/21
∣a+b∣≤∣a∣+∣b∣  ((∣a∣+∣b∣)/(∣a+b∣))≥1  (1/2)+((∣a∣+∣b∣)/(∣a+b∣))≥(1/2)+1=(3/2)=min
$$\mid{a}+{b}\mid\leqslant\mid{a}\mid+\mid{b}\mid \\ $$$$\frac{\mid{a}\mid+\mid{b}\mid}{\mid{a}+{b}\mid}\geqslant\mathrm{1} \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mid{a}\mid+\mid{b}\mid}{\mid{a}+{b}\mid}\geqslant\frac{\mathrm{1}}{\mathrm{2}}+\mathrm{1}=\frac{\mathrm{3}}{\mathrm{2}}={min} \\ $$
Commented by mathdanisur last updated on 06/Jul/21
cool Ser, thaks
$${cool}\:{Ser},\:{thaks} \\ $$

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