Bài làm

\(\frac{15}{41}+\frac{-138}{41}\le x< \frac{1}{2}+\frac{1}{3}+\frac{1}{6}\)

\(\frac{123}{41}\le x< 1\)

\(\frac{123}{41}\le x< \frac{41}{41}\)

\(\Rightarrow123\le x< 41\)

\(\Rightarrow x\in\varnothing\)

=> -123 / 41 < hoặc = x < 1

=> -3 < hoặc = x <1

=>x = ( -3 ; -2 ; -1 ; 0 )

\(\frac{15}{41}+\frac{-138}{41}\le x< \frac{1}{2}+\frac{1}{3}+\frac{1}{6}\)

\(\Leftrightarrow-3\le x< 1\)

\(\Leftrightarrow x\in\left\{-3;-2;-1;0\right\}\)

\(\frac{15}{41}+\frac{-138}{41}\le x< \frac{1}{2}+\frac{1}{3}+\frac{1}{6}\)

\(\Rightarrow\frac{15+(-138)}{41}\le x< \frac{1\cdot3}{6}+\frac{1\cdot2}{6}+\frac{1}{6}\)

\(\Rightarrow\frac{-123}{41}\le x< \frac{3}{6}+\frac{2}{6}+\frac{1}{6}\)

\(\Rightarrow-3\le x< 1\Leftrightarrow x\in\left\{-3;-2;-1;0\right\}\)

\(\frac{15}{41}+\frac{-138}{41}\le x< \frac{1}{2}+\frac{1}{3}+\frac{1}{6}\)

\(\Rightarrow-3\le x< 1\)

\(\Rightarrow x\in\left\{-3;-2;-1;0\right\}\)

\(\frac{15}{41}+\frac{-138}{41}< x< \frac{1}{2}+\frac{1}{3}+\frac{1}{6}\)

\(\Leftrightarrow\frac{-123}{41}< x< \frac{1.3+1.2+1}{6}\)

\(\Leftrightarrow-3< x< 1\)

\(\Rightarrow x\in\left\{-2;-1;0\right\}\)

\(\frac{x}{5}=\frac{15}{2}-\frac{51}{10}\)

\(\frac{x}{5}=\frac{15.5-51}{10}\)

\(\frac{x}{5}=\frac{24}{10}\)

\(\frac{x}{5}=\frac{12}{5}\)

\(x=12\)

\(\frac{2x}{3}-\frac{1}{9}=\frac{59}{36}+\frac{1}{4}\)

\(\frac{2x}{3}-\frac{1}{9}=\frac{59+9}{36}\)

\(\frac{2x}{3}-\frac{1}{9}=\frac{68}{36}\)

\(\frac{2x}{3}=\frac{68}{36}+\frac{1}{9}\)

\(\frac{2x}{3}=\frac{68}{36}+\frac{4}{36}\)

\(\frac{2x}{3}=2\)

\(\Rightarrow2x=6\)

\(\Rightarrow x=3\)

-2;-1;0

 -2 , -1 , 0

\(\Leftrightarrow\dfrac{-153}{41}< =x< =1\)

mà x là số nguyên

nên \(x\in\left\{-3;-2;-1;0;1\right\}\)

-42/32.(15/8-16/41)+15/8.(41/32.8/3)

=-42/32.487/328+15/8.41/12

=-10227/5248+205/32

=23393/5248