11/3 x ( 1/5 - 1/2 )< hoặc bằng x <hoặc bằng 3/11 x (1/5 + 2/3 - 1/2)
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\(-\frac{1}{10}< =x< =\frac{3}{5}\)
\(\frac{-4}{9}< x< =\frac{2}{3}\)
\(1)\frac{1}{5}+\frac{2}{11}< \frac{x}{55}< \frac{2}{5}+\frac{1}{55}\)
\(\Rightarrow\frac{11}{55}+\frac{10}{55}< \frac{x}{55}< \frac{22}{55}+\frac{1}{55}\)
\(\Rightarrow\frac{21}{55}< \frac{x}{55}< \frac{23}{55}\)
\(\Rightarrow21< x< 23\)
\(\Rightarrow x=22\)
\(2)\frac{11}{3}+\frac{-19}{6}+\frac{-15}{2}\le x\le\frac{19}{12}+\frac{-5}{4}+\frac{-10}{3}\)
\(\Rightarrow\frac{22}{6}+\frac{-19}{6}+\frac{-45}{6}\le x\le\frac{19}{12}+\frac{-15}{12}+\frac{-40}{12}\)
\(\Rightarrow\frac{22+\left[-19\right]+\left[-45\right]}{6}\le x\le\frac{19+\left[-15\right]+\left[-40\right]}{12}\)
\(=\frac{-42}{6}\le x\le\frac{-36}{12}\)
\(\Rightarrow-7\le x\le-3\)
\(\Rightarrow x\in\left\{-7;-6;-5;-4;-3\right\}\)
a, ta có: (2x-3).(6-2x)=0
=>(2x-3)=0 hoặc (6-2x)=0
+, nếu 2x-3=0 thì x= 2/3 (1)
+, nếu 6-2x=0 thì x= 3 (2)
vì x thuộc Z nên từ (1) và(2) => x=3
vậy x=3
Đề bài : \(\dfrac{11}{3}\times\left(\dfrac{1}{5}-\dfrac{1}{2}\right)\le x\le\dfrac{3}{11}\times\left(\dfrac{1}{5}+\dfrac{2}{3}-\dfrac{1}{2}\right)\)
\(\dfrac{11}{3}\times\left(\dfrac{1}{5}-\dfrac{1}{2}\right)=\dfrac{11}{3}\times\left(-\dfrac{3}{10}\right)\)\(=-\dfrac{33}{30}=-\dfrac{11}{10}\)
\(\dfrac{3}{11}\times\left(\dfrac{1}{5}+\dfrac{2}{3}-\dfrac{1}{2}\right)=\dfrac{3}{11}\times\dfrac{11}{30}=\dfrac{33}{330}=\dfrac{1}{10}\)
\(\Rightarrow\dfrac{-11}{10}\le x\le\dfrac{1}{10}\)
Vậy \(x\in\left\{-\dfrac{11}{10};-\dfrac{10}{10};-\dfrac{9}{10};-\dfrac{8}{10};-\dfrac{7}{10};-\dfrac{6}{10};-\dfrac{5}{10};-\dfrac{4}{10};-\dfrac{3}{10};-\dfrac{2}{10};-\dfrac{1}{10};0;\dfrac{1}{10}\right\}\)