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a) \(\frac{-1}{5}\le\frac{x}{8}\le\frac{1}{4}\)
\(\frac{-8}{40}\le\frac{5x}{40}\le\frac{10}{40}\)
\(\Rightarrow-8\le5x\le10\)
\(\Rightarrow x\in\left\{-5;0;5;10\right\}\)
5.x = - 5
x = -5 ÷ 5 = -1
5.x = 0
=> x = 0
5.x = 5
=> x = 1
5.x = 10
=> x = 2
Vậy, \(x\in\left\{-1;0;1;2\right\}\)
Câu b) mình không biết làm, bạn thông cảm nha!!!
Cbht
a. \(-\frac{1}{5}\le\frac{x}{8}\le\frac{1}{4}\)
<=> \(-\frac{8}{40}\le\frac{5x}{40}\le\frac{10}{40}\)
<=> -8 \(\le\)5x \(\le\)10
<=> x + 5 \(\in\){\(\pm\)8;\(\pm\)7; \(\pm\)6;\(\pm\)5;\(\pm\)4;\(\pm\)3;\(\pm\)2; \(\pm\)1; 0; 9;10}
<=> x \(\in\left\{3;-13;2;-12;1;-11;0;-10;-1;-9;-2;-8;-3;-7;-4;-6;-5;4;5\right\}\)
b. \(\frac{x+46}{20}=x\frac{2}{5}\)
<=> 5x + 230 = 40x
<=> 35x = 230
<=> x = \(\frac{46}{7}\)
a) \(\frac{9}{20}\) c) \(\frac{-55}{4}\)
b) \(\frac{116}{75}\) d) \(\frac{-76}{45}\)
đúng hết đấy nhé mình tính kĩ lắm ko sai đâu
chúc may mắn
a: \(\Leftrightarrow-\dfrac{9}{46}+\dfrac{108}{46}-\dfrac{93}{23}:\left(\dfrac{13}{4}-\dfrac{5}{3}x\right)=1\)
\(\Leftrightarrow\dfrac{93}{23}:\left(\dfrac{13}{4}-\dfrac{5}{3}x\right)=\dfrac{53}{46}\)
\(\Leftrightarrow-\dfrac{5}{3}x+\dfrac{13}{4}=\dfrac{186}{53}\)
=>-5/3x=55/212
hay x=-33/212
c: \(\Leftrightarrow\dfrac{3}{1\cdot4}+\dfrac{3}{4\cdot7}+...+\dfrac{3}{x\left(x+3\right)}=\dfrac{18}{19}\)
\(\Leftrightarrow1-\dfrac{1}{x+3}=\dfrac{18}{19}\)
=>x+3=19
hay x=16
a) 2 - ( \(5\frac{3}{8}\)x X - \(\frac{5}{24}\)) = \(\frac{5}{12}\)
\(5\frac{3}{8}\)x X - \(\frac{5}{24}\)= \(\frac{19}{12}\)
\(5\frac{3}{8}\)x X = \(\frac{43}{24}\)
X = \(\frac{1}{3}\)
b) \(1\frac{2}{9}\): ( \(3\frac{1}{3}\)x X + \(\frac{1}{6}\)) = \(\frac{22}{23}\)
\(3\frac{1}{3}\)x X + \(\frac{1}{6}\) = \(\frac{23}{18}\)
\(3\frac{1}{3}\)x X = \(\frac{10}{9}\)
X =\(\frac{1}{3}\)
C) \(\frac{4}{5}\)x X - \(\frac{1}{2}\)x X + \(\frac{3}{4}\)x X = \(\frac{7}{40}\)
( \(\frac{4}{5}-\frac{1}{2}+\frac{3}{4}\)) x X = \(\frac{7}{40}\)
\(\frac{21}{20}\) x X = \(\frac{7}{40}\)
X =\(\frac{1}{6}\)
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b) \(\frac{3}{x-5}=\frac{-4}{x+2}\)
=> 3.(x + 2) = (x - 5). (-4)
= 3x + 6 = -4x + 20
= 3x - 4x = 26
=> -x = 26
=> x = -26
c) \(\frac{x}{-2}=\frac{-8}{x}\)
=> x.x = -2 . (-8)
=> x2 = 16
=> x = 4
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b) \(\frac{x+46}{20}=x\frac{2}{5}\)
\(\Leftrightarrow\frac{x+46}{20}=\frac{5x+2}{5}\)
\(\Leftrightarrow\frac{x+46}{20}=\frac{4\left(5x+2\right)}{20}\)
\(\Rightarrow x+46=4\left(5x+2\right)\)
\(\Leftrightarrow x+46=20x+8\)
\(\Leftrightarrow x-20x=8-46\)
\(\Leftrightarrow-19x=-38\)
\(\Leftrightarrow x=\left(-38\right):\left(-19\right)=2\)
Vậy x=2