\(\frac{112}{34}=\frac{56}{x};\)    
K
Khách

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8 tháng 8 2016

\(\left(1\frac{1}{4}-\frac{3}{5}\right):\frac{17}{20}< \frac{x}{17}< \left(5\frac{1}{3}-3\frac{1}{2}\right).\frac{12}{17}\)

\(\left(\frac{5-3}{4}\right):\frac{17}{20}< \frac{x}{17}< \left(\frac{16}{3}-\frac{7}{2}\right).\frac{12}{17}\)

\(\frac{1}{2}:\frac{17}{20}< \frac{x}{17}< \left(\frac{32-21}{6}\right).\frac{12}{17}\)

\(\frac{10}{17}< \frac{x}{17}< \frac{3}{2}.\frac{12}{17}\)

\(\frac{10}{17}< \frac{x}{17}< \frac{18}{17}\)

( Mik thấy mẫu giống nhau mik sẽ bỏ mẫu đi mik sẽ tìm tử )

=> 10 < 11 ; 12 ; 13 ; 14 ; 15 ; 16 ; 17 < 18

=> x = { 11 ; 12 ; 13 ; 14 ; 15 ; 16 ; 17 }

k mik nha làm ơn đó

8 tháng 8 2016

\(\frac{58}{27}.\frac{54}{29}< x< \frac{100}{3}-\frac{9}{13}\)

\(4< x< 32\frac{25}{39}\)

\(=>x\in\left\{5;6;7...;32\right\}\)

K cho mik với nhé 

30 tháng 5 2015

a) \(\frac{-8}{3}+\frac{7}{5}+\frac{-71}{15}\)\(x\) < \(\frac{-13}{7}+\frac{19}{14}+\frac{-7}{2}\)

Ta có: \(\frac{-8}{3}+\frac{7}{5}+\frac{-71}{15}\)

=\(\frac{-40}{15}+\frac{21}{15}+\frac{-71}{15}\)

=\(\frac{-90}{15}\)

=\(-6\)

Ta có: \(\frac{-13}{7}+\frac{19}{14}+\frac{-7}{2}\)

=\(\frac{-26}{14}+\frac{19}{14}+\frac{-49}{14}\)

=\(\frac{-56}{14}\)

=\(-4\)

=> \(-6\)\(x\)<\(-4\)

=> \(x=-5\)

 

b)\(\frac{5}{17}+\frac{-4}{9}+\frac{-20}{31}+\frac{12}{17}+\frac{-11}{31}\)\(\frac{x}{9}\)<\(\frac{-3}{7}+\frac{7}{15}+\frac{4}{-7}+\frac{8}{15}+\frac{2}{3}\)

Ta có: \(\frac{5}{17}+\frac{-4}{9}+\frac{-20}{31}+\frac{12}{17}+\frac{-11}{31}\)

=\(\left(\frac{5}{17}+\frac{12}{17}\right)+\left(\frac{-20}{31}+\frac{-11}{31}\right)+\frac{-4}{9}\)

=\(1+\left(-1\right)+\frac{-4}{9}\)

=\(0+\frac{-4}{9}\)

=\(\frac{-4}{9}\)

Ta có: \(\frac{-3}{7}+\frac{7}{15}+\frac{4}{-7}+\frac{8}{15}+\frac{2}{3}\)

=\(\frac{-3}{7}+\frac{7}{15}+\frac{-4}{7}+\frac{8}{15}+\frac{2}{3}\)

=\(\left(\frac{-3}{7}+\frac{-4}{7}\right)+\left(\frac{7}{15}+\frac{8}{15}\right)+\frac{2}{3}\)

=\(\left(-1\right)+1+\frac{2}{3}\)

=\(0+\frac{2}{3}\)

=\(\frac{2}{3}\)

=> \(\frac{-4}{9}\)\(\frac{x}{9}\)<\(\frac{2}{3}\)

=

=> \(\frac{-4}{9}\)<\(\frac{x}{9}\)<\(\frac{6}{9}\)

=> \(-4\)\(x\)<\(6\)

=>\(x\in\left\{-3;-2;-1;0;1;2;3;4;5\right\}\)

2 tháng 4 2019

1)

a)

\(\frac{-5}{6}.\frac{120}{25}< x< \frac{-7}{15}.\frac{9}{14}\)

\(\frac{-1}{1}.\frac{20}{5}< x< \frac{-1}{5}.\frac{3}{2}\)

\(\frac{-20}{5}< x< \frac{-3}{10}\)

\(\frac{-40}{10}< x< \frac{-3}{10}\)

\(\Rightarrow Z\in\left\{-4;-5;-6;-7;-8;-9;-10;...;-39\right\}\)

2 tháng 4 2019

\(\left(\frac{-5}{3}\right)^3< x< \frac{-24}{35}.\frac{-5}{6}\)

\(\frac{25}{3}< x< \frac{-4}{7}.\frac{1}{1}\)

\(\frac{-25}{3}< x< \frac{-4}{7}\)

\(\frac{-175}{21}< x< \frac{-12}{21}\)

\(\Rightarrow Z\in\left\{-13;-14;-15;-16;...;-174\right\}\)

23 tháng 3 2019

\(\Leftrightarrow\frac{-2}{17}\le\frac{x}{17}\le\frac{2}{17}\Rightarrow x\in\left(-2;-1;0;1;2\right)\)

\(\Leftrightarrow\frac{-1}{24}\le\frac{x}{24}\le\frac{5}{24}\Rightarrow x\in\left(-1;0;1;2;3;4;5\right)\)

2 câu sau tự làm nha

\(-\frac{5}{17}+\frac{3}{17}\le\frac{x}{17}\le\frac{13}{17}+-\frac{11}{17}\)

\(\frac{-2}{17}\le\frac{x}{17}\le\frac{2}{17}\)

=> \(x\in\left\{-2;-1;0;1;2\right\}\)

5 tháng 8 2020

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

5 tháng 8 2020

d) \(\frac{-1}{2}< \frac{x}{18}< \frac{-1}{3}\)

\(\Leftrightarrow\frac{-9}{18}< \frac{x}{18}< \frac{-6}{18}\)

\(\Leftrightarrow-9< x< -6\)

\(\Rightarrow x\in\left\{-8;-7\right\}\)

21 tháng 4 2017

\(\Leftrightarrow\)\(x-\left(\frac{13x}{18}-\frac{4}{18}\right)=\frac{4}{9}\)

\(\Leftrightarrow\)\(\frac{18x}{18}-\frac{13x}{18}+\frac{4}{18}=\frac{4}{9}\)

\(\Leftrightarrow\)\(\frac{5x}{18}=\frac{4}{9}-\frac{4}{18}\)

\(\Leftrightarrow\)\(\frac{5x}{18}=\frac{2}{9}\)

\(\Leftrightarrow\)\(5x=\frac{18.2}{9}\)

\(\Leftrightarrow\)\(5x=4\)

\(\Leftrightarrow\)\(x=\frac{4}{5}\)