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a)\(\frac{-5}{6}\).\(\frac{120}{25}\)<x<\(\frac{-7}{15}\).\(\frac{9}{14}\)
-4 <x<\(\frac{-3}{10}\)
\(\frac{-40}{10}\)< x <\(\frac{-3}{10}\)=>x E {-39:-38:-37:.....:-4}
b)\(\left(\frac{-5}{3}\right)^3\)<x<\(\frac{-24}{35}.\frac{-5}{6}\)
\(\frac{-875}{189}< x< \frac{108}{189}\)
=> x E {\(\frac{-874}{189},\frac{-873}{189},......,\frac{107}{189}\)}
a) \(\left(x+\frac{1}{4}\right)^2+\frac{11}{25}=\frac{18}{25}\)
\(\Rightarrow\left(x+\frac{1}{4}\right)^2=\frac{7}{25}\)
\(\Rightarrow\) Không có x
b)
\(4\frac{5}{9}:2\frac{5}{18}-7< x< \left(3\frac{1}{5}:3,2+4,5.1\frac{31}{45}\right):\left(21.\frac{1}{2}\right)\)
\(\Rightarrow\frac{41}{9}:\frac{41}{18}-7< x< \left(\frac{16}{5}:\frac{16}{5}+\frac{9}{2}.\frac{76}{45}\right):\frac{21}{2}\)
\(\Rightarrow2-7< x< \left(1+\frac{38}{5}\right):\frac{21}{2}\)
\(\Rightarrow-5< x< \frac{43}{5}:\frac{21}{2}\)
\(\Rightarrow-5< x< \frac{86}{105}\)
Vì \(x\in Z\left(gt\right)\)
\(\Rightarrow x\in\left\{-4;-3;-2;-1;0\right\}.\)
Vậy \(x\in\left\{-4;-3;-2;-1;0\right\}.\)


Ta có: \(\frac{1}{3}< a< \frac{25}{6}\Rightarrow\frac{2}{6}< a< 4\frac{1}{6}\)
\(\Rightarrow a=1;2;3;4\)
=2/6<a<25/6
suy ra a thuộc { 3/6 ; 4/6 ; 5/6;7/6;...:24/6 }
\(\frac{1}{3}< a< \frac{25}{6}\)
\(\frac{2}{6}< a< \frac{25}{6}\)
\(\Rightarrow a\in\left\{\frac{3}{6};\frac{4}{6};\frac{5}{6};1;\frac{7}{6};\frac{8}{6};\frac{9}{6};\frac{10}{6};\frac{11}{6};2;\frac{13}{6};\frac{14}{6};\frac{15}{6};\frac{16}{6};\frac{17}{6};3;\frac{19}{6};\frac{20}{6};\frac{21}{6};\frac{22}{6};\frac{23}{6};\frac{24}{6};\frac{25}{6}\right\}\)
Vì \(a\inℤ\Rightarrow a\in\left\{1;2;3\right\}\)
Ta có : \(\frac{1}{3}\)< a <\(\frac{25}{6}\)=> \(\frac{2}{6}\)< a <\(\frac{25}{6}\)
=>a\(\in\){ \(\frac{1}{2}\);\(\frac{2}{3}\);\(\frac{5}{6}\);1 ;\(\frac{7}{6}\);\(\frac{4}{3}\);\(\frac{3}{2}\);\(\frac{5}{3}\); \(\frac{11}{6}\); 2 ; \(\frac{13}{6}\);\(\frac{7}{3}\);\(\frac{5}{2}\); \(\frac{8}{3}\);\(\frac{17}{6}\);3; \(\frac{19}{6}\); \(\frac{10}{3}\);\(\frac{7}{2}\);\(\frac{11}{3}\);\(\frac{23}{6}\);4}