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24 tháng 9 2020

\(\frac{4}{5}+\frac{1}{6}-\frac{4}{9}=\frac{29}{30}-\frac{4}{9}=\frac{87}{90}-\frac{40}{90}=\frac{11}{30}\)

\(\frac{2}{3}-\frac{1}{4}=\frac{8}{12}-\frac{3}{12}=\frac{5}{12}\)

\(\frac{5}{12}=\frac{150}{360};\frac{11}{30}=\frac{132}{360}\)

\(x=\frac{19}{360}\)

6 tháng 7 2021

a) \(\frac{2}{-5}< \frac{x}{10}< \frac{1}{4}\)

\(\Rightarrow\frac{-8}{20}< \frac{2x}{20}< \frac{5}{20}\)

\(\Rightarrow-8< 2x< 5\)

\(\Rightarrow-4< x< 2,5\)

Vì \(x\inℤ\) nên \(x\in\left\{-3;-2;-1;0;1;2\right\}\)

b) \(-\frac{2}{3}< \frac{x}{8}< -\frac{1}{6}\)

\(\Rightarrow\frac{-16}{24}< \frac{3x}{24}< \frac{-4}{24}\)

\(\Rightarrow-16< 3x< -4\)

\(\Rightarrow3x\in\left\{-15;-12;-9;-6\right\}\)

\(\Rightarrow x\in\left\{-5;-4;-3;-2\right\}\)

a) x=1

b)x=-3,-2

 

a: x>-3/5 nên x+3/5>0

x<1/7 nên x-1/7<0

A=1/7-x-(x+3/5)+4/5

=1/7-2x-3/5+4/5

=-2x+12/35

b: \(B=\left|-x+\dfrac{1}{7}\right|+\left|-x-\dfrac{3}{5}\right|-\dfrac{2}{6}\)

\(=\left|x-\dfrac{1}{7}\right|+\left|x+\dfrac{3}{5}\right|-\dfrac{1}{3}\)

-3/5<x<1/7

nên x-1/7<0; x+3/5>0

\(B=\dfrac{1}{7}-x+x+\dfrac{3}{5}-\dfrac{1}{3}=\dfrac{43}{105}\)

c: \(C=\left|\dfrac{11}{5}-x\right|+\left|x-\dfrac{1}{5}\right|+\dfrac{41}{5}\)

\(=\left|x-\dfrac{11}{5}\right|+\left|x-\dfrac{1}{5}\right|+\dfrac{41}{5}\)

Nếu 1/5<x<11/5 nên x-1/5>0; x-11/5<0

\(C=\dfrac{11}{5}-x+x-\dfrac{1}{5}+\dfrac{41}{5}=\dfrac{51}{5}\)

a: x>-3/5 nên x+3/5>0

x<1/7 nên x-1/7<0

A=1/7-x-(x+3/5)+4/5

=1/7-2x-3/5+4/5

=-2x+12/35

b: \(B=\left|-x+\dfrac{1}{7}\right|+\left|-x-\dfrac{3}{5}\right|-\dfrac{2}{6}\)

\(=\left|x-\dfrac{1}{7}\right|+\left|x+\dfrac{3}{5}\right|-\dfrac{1}{3}\)

-3/5<x<1/7

nên x-1/7<0; x+3/5>0

\(B=\dfrac{1}{7}-x+x+\dfrac{3}{5}-\dfrac{1}{3}=\dfrac{43}{105}\)

c: \(C=\left|\dfrac{11}{5}-x\right|+\left|x-\dfrac{1}{5}\right|+\dfrac{41}{5}\)

\(=\left|x-\dfrac{11}{5}\right|+\left|x-\dfrac{1}{5}\right|+\dfrac{41}{5}\)

Nếu 1/5<x<11/5 nên x-1/5>0; x-11/5<0

\(C=\dfrac{11}{5}-x+x-\dfrac{1}{5}+\dfrac{41}{5}=\dfrac{51}{5}\)