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Ta có : \(\frac{-1}{2}< \frac{x}{2}< 0\)
\(\Rightarrow\frac{-1}{2}< \frac{x}{2}< \frac{0}{2}\)
\(\Rightarrow-1< x< 0\)
Mà \(x\in Z\Rightarrow x=\varnothing\)
Vậy \(x=\varnothing\)
Chúc bạn học tốt nha !!!
\(\)
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a/ \(\frac{x+2}{27}=\frac{x}{9}\)
=> 9(x + 2) = 27x
=> 9x + 18 = 27x
=> 9x + 18 - 27x = 0
=> 9x - 27x + 18 = 0
=> -18x = -18
=> x = 1
b/ \(\frac{-7}{x}=\frac{21}{34-x}\)
=> -7(34 - x) = 21x
=> -238 + 7x = 21x
=> 21x - 7x = -238
=> -14x = 238
=> x = -17
c) \(\frac{-8}{15}< \frac{x}{40}< \frac{-7}{15}\)
Ta có BCNN(15,40,15) = 120
=> \(\frac{-64}{120}< \frac{3x}{120}< \frac{-56}{120}\)
=> -64 < 3x < -56
=> x \(\in\){ -19;-20;-21}
Câu d tương tự
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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 \(x\in\left\{-4;-3;-2;-1;0\right\}.\)
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b) 52-\(|\)x\(|\)=-80
\(|\)x\(|\)=52-(-80)
\(|\)x\(|\)=52+80
\(|\)x\(|\)=132
Vậy x=-132
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Giải:
\(0,27+\dfrac{1}{2}< x\%< 1-20\%\)
\(\Leftrightarrow\dfrac{77}{100}< \dfrac{x}{100}< \dfrac{4}{5}\)
\(\Leftrightarrow\dfrac{77}{100}< \dfrac{x}{100}< \dfrac{80}{100}\)
\(\Leftrightarrow77< x< 80\)
\(\Leftrightarrow x=\left\{78;79\right\}\)
Vậy ...
\(0,27+\dfrac{1}{2}< x\%< 1-20\%\)
\(\Rightarrow\) \(\dfrac{27}{100}+\dfrac{50}{100}< \dfrac{x}{100}< \dfrac{100}{100}-\dfrac{20}{100}\)
\(\Rightarrow\) \(\dfrac{77}{100}< \dfrac{x}{100}< \dfrac{80}{100}\)
\(\Rightarrow\) \(77< x< 80\)
\(\Rightarrow\) \(x\in\left\{78;79\right\}\)
Vậy \(x\in\left\{78;79\right\}\)
\(0,27+\frac{1}{2}< x\%< 1-20\%\)
\(\Leftrightarrow\frac{27}{100}+\frac{50}{100}< \frac{x}{100}< \frac{80}{100}\)
\(\Leftrightarrow\frac{77}{100}< \frac{x}{100}< \frac{80}{100}\)
\(\Rightarrow77< x< 80\)
Mà x thuộc Z nên \(x\in\left\{78;79\right\}\).
Vậy ...