\(\frac{-5-x}{x+2}\) < 2
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Ta có:
\(\frac{x}{5}\)<\(\frac{5}{4}\)<\(\frac{x+2}{5}\)
\(\Rightarrow\)\(\frac{4x}{20}\)<\(\frac{25}{20}\)<\(\frac{4.\left(x+2\right)}{20}\)(suy ra x\(\ge\)5)
\(\Rightarrow\)4x<25<4(x+2)
\(\Rightarrow\)4x+4(x+2)<25+25
suy ra 8x+8<50
suy ra 8x<42
suy ra x\(\le\)5 mà x\(\ge\)5
suy ra x=5
vậy x=5
\(3\frac{1}{3}\div2\frac{2}{5}-1< x< 7\frac{2}{3}\cdot\frac{3}{7}+\frac{5}{7}\)
\(\frac{25}{18}-1< x< \frac{23}{7}+\frac{5}{7}\)
\(\frac{7}{18}< x< \frac{28}{7}\)
\(\frac{49}{126}< x< \frac{504}{126}\)
\(\Rightarrow x=\left(\frac{50}{126};\frac{51}{126};\frac{52}{126};......;\frac{503}{126}\right)\)
\(\frac{1}{2}+\frac{1}{3}-2\frac{1}{5}\le x< 4\frac{1}{5}+3\frac{1}{2}\)
\(\frac{1}{2}+\frac{1}{3}-\frac{11}{5}\le x< \frac{21}{5}+\frac{7}{2}\)
\(\frac{15}{30}+\frac{10}{30}-\frac{66}{30}\le x< \frac{42}{10}+\frac{35}{10}\)
\(-\frac{41}{30}\le x< \frac{77}{10}\)
\(-1\frac{11}{30}\le x< 7\frac{7}{10}\)
Vậy \(x\in\){ -1 ; 0 ; 1 ; 2 ; 3 ; 4 ; 5 ; 6 ; 7 }