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\(\frac{1}{2}-\left\{\frac{1}{3}+\frac{3}{4}\right\}\)
\(=\frac{1}{2}-\frac{13}{12}\)
\(=\frac{1}{2}-1+\frac{1}{12}\)
\(=\frac{7}{12}-1\)
\(\frac{1}{2}-\left(\frac{1}{3}+\frac{3}{4}\right)\)
\(=\frac{1}{2}-\frac{13}{12}\)
\(=\frac{-7}{12}\)

Ta có 1/2 - ( 1/3 + 3/4) <= x <= 1/24 - ( 1/8 - 1/3 )
=> 6/12 - ( 4/12 + 9/12 ) <= x <= 1/24 - ( 3/24 - 8/24 )
=> 6/12 - 13/12 <= x <= 1/24 + 5/24
=> -7/12 <= x <= 3/12
=> -7 <= 12x <= 3
=> x ko tồn tại
1/3– 3/5 + 5/7 –7/9 + 9/11 – 11/13 + 13/15 + 11/13 – 9/11 + 7/9 –5/7 + 3/5 –1/3

1/2 - (1/3 + 3/4) < x < 1/24 - (1/8 - 1/3)
Ta có:
* 1/2 - (1/3 + 3/4) = 1/2 - 13/12
= -7/12. (1)
* 1/24 - (1/8 - 1/3) = 1/24 - 1/8 + 1/3
= 1/24 - 3/24 + 8/24
= 6/24 = 3/12 (2)
Từ (1) và (2) suy ra: x thuộc: {-1/2; -5/12; -1/3; -1/4; -1/6; -1/12; 0; 1/2; 1}.


Câu a tự làm nhé
b, \(\frac{2x+3}{24}=\frac{3x-1}{32}\)
\(\Leftrightarrow32(2x+3)=24(3x-1)\)
\(\Leftrightarrow64x+96=72x-24\)
\(\Leftrightarrow64x+96-72x=-24\)
\(\Leftrightarrow96-8x=-24\Leftrightarrow x=15\)

Mk chỉ làm bt 1 thôi nha vì máy tính mk có vấn đề
Câu 1:
a)|x-5|=2x+3
TH1:x-5=2x+3
x-5-2x-3=0
-8-x=0
x=-8
TH2:-(x-5)=2x+3
-x+5=2x+3
-x+5-2x-3=0
2-3x=0
3x=2
x=\(\frac{2}{3}\)
Vậy x=-8;\(\frac{2}{3}\)
b)3-|3x+1|=-6
|3x+1|=3-(-6)
|3x+1|=9
\(\Rightarrow\left[\begin{array}{nghiempt}3x+1=9\\3x+1=-9\end{array}\right.\)\(\Rightarrow\left[\begin{array}{nghiempt}3x=8\\3x=-10\end{array}\right.\)\(\Rightarrow\left[\begin{array}{nghiempt}x=\frac{8}{3}\\x=-\frac{10}{3}\end{array}\right.\)
Vậy \(x=\frac{8}{3};-\frac{10}{3}\)
\(\dfrac{1}{2}-\left(\dfrac{1}{3}+\dfrac{3}{4}\right)\le x\le\dfrac{1}{24}-\left(\dfrac{1}{8}-\dfrac{1}{3}\right)\\ \Leftrightarrow\dfrac{1}{2}-\dfrac{13}{12}\le x\le\dfrac{1}{24}+\dfrac{5}{24}\\ \Leftrightarrow-\dfrac{7}{12}\le x\le\dfrac{1}{4}\)
`1/2 - (1/3 + 3/4) ≤ x ≤ 1/24 - ( 1/8 - 1/3)`
` = 1/2 - 1/3 - 3/4 ≤ x ≤ 1/24 - 1/8 + 1/3`
`= (-7)/12 ≤ x ≤ 1/4`
`=> (-7)/12 ≤ x ≤ 3/12`
`=> x = { (-6)/12; (-5)/12; (-4)/12; (-3)/12; (-2)/12; (-1)/12;0; 1/12; 2/12;}`