-1/12<x<1/4

Do -1/12>-1

1/4<1

=>-1<-1/12<x<1/4<1(dòng này bỏ viết ra để hiểu thôi)

=>-1<x<1

Do x nguyên=>x=0

Vì: \(\frac{1}{2}-\left(\frac{1}{3}+\frac{1}{4}\right)=\frac{1}{2}-\frac{7}{12}=-\frac{1}{12}\)

\(\frac{1}{24}-\left(\frac{1}{8}-\frac{1}{3}\right)=\frac{1}{24}--\frac{5}{24}=\frac{1}{4}\)

Vì số âm và số dương cách nhau bỏi số 0 nên ta suy đoán: \(-\frac{1}{2}\le0\le\frac{1}{4}\)

Vậy x = 0       

Bài này có người hỏi rồi mà bạn

\(\left(\frac{-2}{3}-\frac{1}{2}\right):\frac{-1}{4}\le x\le\left(\frac{-5}{6}+\frac{2}{\frac{1}{4}}:\frac{-3}{2}\right)\cdot\left(\frac{-7}{\frac{1}{2}}\right)\)

\(taco:\left(\frac{-2}{3}-\frac{1}{2}\right):\frac{-1}{4}=\frac{-7}{6}:\frac{-1}{4}=\frac{14}{3}\)

\(\left(\frac{-5}{6}+\frac{2}{\frac{1}{4}}:\frac{-3}{2}\right)\cdot\left(\frac{-7}{\frac{1}{2}}\right)=\left(\frac{-5}{6}+\frac{-16}{3}\right)\cdot\left(-14\right)=\frac{-37}{6}\cdot\left(-14\right)=\frac{259}{3}\)

TU DO \(=>X=\frac{14}{3};\frac{15}{3};,,,;\frac{259}{3}\)

CHUC BAN HOC TOT :))

câu 1 : là -4

câu 2 : là -1

nếu đúng hãy cho mình 1 k đúng nhé

GIẢI HẲN RA HỘ MK VỚI !!

thiếu dấu ngoặc rồi thánh!

\(4\frac{1}{3}.\left(\frac{1}{6}-\frac{1}{2}\right)\le x\le\frac{2}{3}.\left(\frac{1}{3}-\frac{1}{2}-\frac{3}{4}\right)\)

       \(\frac{13}{3}.\frac{-1}{3}\)   \(\le x\le\frac{2}{3}.\frac{-11}{12}\)

         \(\frac{-13}{9}\)        \(\le x\le\) \(\frac{-11}{18}\)

         \(\frac{-26}{18}\)     \(\le\frac{18x}{18}\le\frac{-11}{18}\)

Suy ra \(-26\le18x\le-11\)

\(\rightarrow x=-1\)

Vậy x = -1

Câu 2 : 

\(1\frac{13}{15}.0,75-\left(\frac{104}{195}+25\%\right).\frac{24}{47}-3\frac{12}{13}:3\)

\(\frac{28}{15}.\frac{3}{4}-\left(\frac{104}{195}+\frac{25}{100}\right).\frac{24}{47}-\frac{51}{13}:3\)

\(\frac{28}{15}.\frac{3}{4}-\frac{47}{60}.\frac{24}{47}-\frac{51}{13}:3\)

\(\frac{7}{5}-\frac{2}{5}-\frac{51}{13}.\frac{1}{3}\)

\(\frac{7}{5}-\frac{2}{5}-\frac{17}{13}\)

\(-\frac{4}{13}\)

Câu 1:

\(-\frac{13}{9}\le x\le-\frac{1}{2}\)

\(x=-1\)

\(1\frac{13}{15}.0,75-\left(\frac{8}{15}+25\%\right).\frac{24}{47}-3\frac{12}{13}:3\)

\(=\frac{28}{15}.\frac{3}{4}-\left(\frac{8}{15}+\frac{1}{4}\right).\frac{24}{47}-\frac{51}{13}:3\)

\(=\frac{7}{5}-\frac{47}{60}.\frac{24}{47}-\frac{17}{13}\)

\(=\frac{7}{5}-\frac{2}{5}-\frac{17}{13}\)

\(=\frac{-4}{13}\)

\(4\frac{1}{3}.\left(\frac{1}{6}-\frac{1}{2}\right)\le x\le\frac{2}{3}.\left(\frac{1}{3}-\frac{1}{2}-\frac{3}{4}\right)\)

\(\Leftrightarrow\frac{13}{3}.\frac{-1}{3}\le x\le\frac{2}{3}.\frac{-11}{12}\)

\(\Leftrightarrow\frac{-13}{9}\le x\le\frac{-11}{18}\)

\(\Leftrightarrow x=-1\)

\(\frac{2}{3}\) .\(\frac{3}{4}\)\(\le\)\(\frac{x}{18}\) \(\le\)\(\frac{7}{3}\).\(\frac{1}{3}\)

\(\frac{1}{2}\le\frac{x}{18}\le\frac{7}{9}\)

\(\frac{9}{18}\le\frac{x}{18}\le\frac{14}{18}\)

\(\Rightarrow x\in\){9:10;11;12;13;14}

\(\frac{2}{3}.\left(\frac{1}{2}+\frac{3}{4}-\frac{1}{3}\right)\le\frac{x}{18}\le\frac{7}{3}.\left(\frac{1}{2}-\frac{1}{6}\right)\)

\(\frac{2}{3}.\left(\frac{5}{4}-\frac{1}{3}\right)\le\frac{x}{18}\le\frac{7}{3}.\frac{1}{3}\)

\(\frac{2}{3}.\frac{11}{12}\le\frac{x}{18}\le\frac{7}{9}\)

\(\frac{11}{18}\le\frac{x}{18}\le\frac{7}{9}\)

\(\frac{11}{18}\le\frac{x}{18}\le\frac{14}{18}\)

Vậy \(x\in\left\{11;12;13\right\}\)