solve-in-R-1-x-2-x-3-x-1-

Question Number 191343 by mnjuly1970 last updated on 23/Apr/23

solve i n R

⌊ \frac{1}{x} ⌋ + ⌊ \frac{2}{x} ⌋ + ⌊ \frac{3}{x} ⌋ = 1

Answered by mr W last updated on 23/Apr/23

⌊ \frac{3}{x} ⌋ = 1 a n d ⌊ \frac{2}{x} ⌋ = 0

\Rightarrow 1 ⩽ \frac{3}{x} < 2 \Rightarrow \frac{3}{2} < x ⩽ 3 a n d

\Rightarrow \frac{2}{x} < 1 \Rightarrow x > 2

s o l u t i o n i s 2 < x ⩽ 3 ✓

Commented by mnjuly1970 last updated on 23/Apr/23

t h a n k y o u s o m u c h s i r W \underset{―}{\underset{⏟}{⋚}}