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b) 
c) 
= x + 6 d) 
= 13 – 2x 
= x – 12 f/)
= 3x + 4 g) 
= 6 – x 
= 8 – x i) 
= x + 3 k) 
= – 4x +7
14x +12 f) (3x-1)< 2x + 4 
3(2x-1) – 2x + 1 h) x2 – x(x+2) > 3x – 1 i) x + 8 > 3x – 1 
n) 
o) 
q) 
r) 
a: 3x-5>15-x
=>4x>20
hay x>5
b: \(3\left(x-2\right)\left(x+2\right)< 3x^2+x\)
=>3x2+x>3x2-12
=>x>-12
1:
a: =>3x=6
=>x=2
b: =>4x=16
=>x=4
c: =>4x-6=9-x
=>5x=15
=>x=3
d: =>7x-12=x+6
=>6x=18
=>x=3
2:
a: =>2x<=-8
=>x<=-4
b: =>x+5<0
=>x<-5
c: =>2x>8
=>x>4
f) |-2x| = 3x+4
⇒\(\left[{}\begin{matrix}-2x=3x+4\\-2x=-3x-4\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{-4}{5}\\x=-4\end{matrix}\right.\)
g) |2x-1| = 6-x
⇒\(\left[{}\begin{matrix}2x-1=6-x\\2x-1=x-6\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{7}{3}\\x=-5\end{matrix}\right.\)
h) |-1+5x| = 8-x
⇒\(\left[{}\begin{matrix}-1+5x=8-x\\-1+5x=x-8\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{3}{2}\\x=\frac{-7}{4}\end{matrix}\right.\)
i) |-2x+1| = x+3
⇒\(\left[{}\begin{matrix}-2x+1=x+3\\-2x+1=-x-3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{-2}{3}\\x=4\end{matrix}\right.\)
k) |-2-5x| = -4x+7
⇒\(\left[{}\begin{matrix}-2-5x=-4x+7\\-2-5x=4x-7\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-9\\x=\frac{5}{9}\end{matrix}\right.\)
a) |x-2| = 3
⇒\(\left[{}\begin{matrix}x-2=3\\x-2=-3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=5\\x=-1\end{matrix}\right.\)
b) |x+1| = |2x+3|
⇒\(\left[{}\begin{matrix}x+1=2x+3\\x+1=-2x-3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-2\\x=\frac{-4}{3}\end{matrix}\right.\)
c) |3x| = x+6
⇒\(\left[{}\begin{matrix}3x=x+6\\3x=-x-6\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=3\\x=\frac{-3}{2}\end{matrix}\right.\)
d) |x-5| = 13-2x
⇒\(\left[{}\begin{matrix}x-5=13-2x\\x-5=2x-13\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=6\\x=8\end{matrix}\right.\)
e) |5x-1| = x-12
⇒\(\left[{}\begin{matrix}5x-1=x-12\\5x-1=12-x\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{-11}{4}\\x=\frac{13}{6}\end{matrix}\right.\)
a,\(4x\left(2x+3\right)-x\left(8x-1\right)=5\left(x+2\right)\)
\(< =>8x^2+12x-8x^2+x=5x+10\)
\(< =>13x=5x+10< =>8x=10\)
\(< =>x=\frac{10}{8}=\frac{5}{4}\)
b, \(\left(3x-5\right)\left(3x+5\right)-x\left(9x-1\right)=4\)
\(< =>9x^2-25-9x^2+x=4\)
\(< =>x=4+29=33\)
c,\(3-4x\left(25-2x\right)=8x^2+x-300\)
\(< =>3-100x+8x^2=8x^2+x-300\)
\(< =>x+100x=3+300\)
\(< =>101x=303< =>x=\frac{303}{101}=3\)
d,\(2\left(1-\frac{3x}{5}\right)-\frac{2+3x}{10}=7-\frac{3\left(2x+1\right)}{4}\)
\(< =>2-\frac{6x}{5}-\frac{2+3x}{10}=7-\frac{6x+3}{4}\)
\(< =>-\frac{24x}{20}-\frac{4+6x}{20}+\frac{30x+15}{20}=5\)
\(< =>\frac{30x-6x-24x+15-4}{20}=5\)
\(< =>\frac{11}{5}=5< =>11=25\)(vo li)
a \(2x+2>4\\ \Leftrightarrow2\left(x+1\right)>4\\ \Leftrightarrow x+1>2\\ \Leftrightarrow x>1\)
b \(3x+2>-5\\ \Leftrightarrow3x>-7\\ \Leftrightarrow x>\dfrac{-7}{3}\)
c \(10-2x>2\\ \Leftrightarrow2\left(5-x\right)>2\\ \Leftrightarrow5-x>1\\ \Leftrightarrow-x>-4\\ \Leftrightarrow x< 4\)
d \(1-2x< 3\\ \Leftrightarrow-2x< 2\\ \Leftrightarrow2x>2\\ \Leftrightarrow x>1\)
a)2x+2>4
<=> 2x>4-2
<=>2x>2
<=>x>1
Vậy...
b)3x+2>-5
<=>3x>-5-2
<=>3x>-7
<=>x>\(\dfrac{-7}{3}\)
Vậy...
c)10-2x>2
<=>-2x>-10+2
<=>-2x>-8
<=>x<4
Vậy...
d)1-2x<3
<=>-2x<3-1
<=>-2x<2
<=>x>-1
Vậy...
e)10x+3-5\(\le\)14x+12
<=>10x-2\(\le\)14x+12
<=>10x-14x\(\le\)2+12
<=>-4x\(\le\)14
<=>x\(\ge\)\(\dfrac{-7}{2}\)
Vậy...
f)(3x-1)<2x+4
<=> 3x-2x<1+4
<=>x<5
Vậy...