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`4/11<x/20<5/11`
`=>80/220<11x/220<100/220`
`=>80<11x<100`
`=> x=8` hoặc `x=9`
Bài 1: Ta có: \(4\dfrac{3}{5}+\dfrac{7}{10}< X< \dfrac{20}{3}\)
\(\dfrac{23}{5}+\dfrac{7}{10}< X< \dfrac{20}{3}\)
\(\dfrac{138}{30}< X< \dfrac{200}{3}\)
\(\Rightarrow X\in\left\{\dfrac{160}{30};\dfrac{161}{30};\dfrac{162}{30};...;\dfrac{198}{30};\dfrac{199}{30}\right\}\)
Bài 2: \(X-2019\dfrac{2}{13}=3\dfrac{7}{26}+4\dfrac{7}{52}\)
\(\Rightarrow X-\dfrac{26249}{13}=\dfrac{85}{26}+\dfrac{215}{52}\)
\(\Rightarrow X-\dfrac{26249}{13}=\dfrac{385}{52}\)
\(\Rightarrow X=\dfrac{105381}{52}\)
`a, 2/3 +3/4 = (8+9)/12=17/12.`
`1 1/3+4/5 = 4/3 + 4/5 = (20+12)/15=32/15`.
`=> x=2.`
`b, 5/6-1/4=(20-6)/24=7/12`.
`2 1/3-2/5= 7/3-2/5 = (35-6)/15=29/15`.
`=> x=1`.
\(\dfrac{8}{x}\) = \(\dfrac{4}{5}\)
\(x\) = 8 : \(\dfrac{4}{5}\)
\(x\) = 8 x \(\dfrac{5}{4}\)
\(x\) = 10
a) \(\dfrac{2}{3}+\dfrac{3}{4}< x< 1\dfrac{1}{3}+\dfrac{4}{5}\)
\(\dfrac{2\times4}{3\times4}+\dfrac{3\times3}{4\times3}< x< \dfrac{\left(1\times3+1\right)\times5}{3\times5}+\dfrac{4\times3}{5\times3}\)
\(\dfrac{8}{12}+\dfrac{9}{12}< x< \dfrac{20}{15}+\dfrac{12}{15}\\ \dfrac{17}{12}< x< \dfrac{32}{15}\)
Ước tính: \(\dfrac{17}{12}=1,4\) và \(\dfrac{32}{15}=2,1\). Vậy số tự nhiên x = 2 sẽ thõa mãn 1,4 < x < 2,1
b)
\(\dfrac{5}{6}-\dfrac{1}{4}< x< 2\dfrac{1}{3}-\dfrac{2}{5}\\ \dfrac{5\times4}{6\times4}-\dfrac{1\times6}{4\times6}< x< \dfrac{\left(2\times3+1\right)\times5}{3\times5}-\dfrac{2\times3}{5\times3}\\ \dfrac{20}{24}-\dfrac{6}{24}< x< \dfrac{35}{15}-\dfrac{6}{15}\\ \dfrac{14}{24}< x< \dfrac{29}{15}\)
Ước tính \(\dfrac{14}{24}=0,5\) và \(\dfrac{29}{15}=1,9\)
Vậy với x là số tự nhiên x = 1 sẽ thõa mãn 0,5 < x < 1,9
\(\overline{36,75x4}\) < \(\dfrac{367544}{10000}\)
\(\overline{36,75x4}\) < 36,7544
vì 36,7504 < 36,7514< 36,7524< 36,7534< 36,7544
\(x\) = 0; 1; 2; 3
b, \(\overline{ab5,728}\) < \(\overline{ab5,7x4}\) < \(\overline{ab5,755}\)
vì \(\overline{ab5,728}\) < \(\overline{ab5,734}\) < \(\overline{ab5,744}\) < \(\overline{ab5,754}\) < \(\overline{ab5,755}\)
vậy \(x\) = 3; 4; 5
1 - \(\dfrac{2}{3}\) < y < 3 - \(\dfrac{1}{2}\)
\(\dfrac{1}{3}\) < y < \(\dfrac{5}{2}\)
vì \(\dfrac{1}{3}\) < 1 < 2 < \(\dfrac{5}{2}\)
vậy y = 1; 2
Lời giải:
$1-\frac{2}{3}< y< 3-\frac{1}{2}$
$\Rightarrow \frac{1}{3}< y< \frac{5}{2}$
$\Rightarrow y=1$ hoặc $y=2$
x=12 nha bro
x=3x12:5=12
\(x=\dfrac{3.20}{5}=12\)