xy + x + y + 1 = 0

=> x(y + 1) + (y + 1) = 0

=> (x + 1)(y + 1) = 0

=> \(\orbr{\begin{cases}x+1=0\\y+1=0\end{cases}}\)=>\(\orbr{\begin{cases}x=-1\\y=-1\end{cases}}\)

\(\dfrac{x}{9}\) < \(\dfrac{4}{7}\) < \(x\) + \(\dfrac{1}{9}\)

\(\dfrac{7x}{63}\) < \(\dfrac{36}{63}\) < \(\dfrac{63x}{63}\) + \(\dfrac{7}{63}\)

7\(x\) < 36 < 63\(x\) + 7

⇒\(\left\{{}\begin{matrix}7x< 36\\63x+7>36\end{matrix}\right.\)⇒\(\left\{{}\begin{matrix}x< \dfrac{36}{7}\\63x>36-7\end{matrix}\right.\)⇒\(\left\{{}\begin{matrix}x< \dfrac{36}{7}\\63x>29\end{matrix}\right.\)⇒\(\left\{{}\begin{matrix}x< \dfrac{36}{7}\\x>\dfrac{29}{63}\end{matrix}\right.\)

\(\dfrac{29}{63}\)<  \(x\) < \(\dfrac{36}{7}\) vì \(x\in\) Z nên \(x\in\) { 1; 2; 3; 4; 5}

⇒ \(\dfrac{x}{9}\) = \(\dfrac{1}{9}\); \(\dfrac{2}{9}\); \(\dfrac{3}{9}\); \(\dfrac{4}{9}\);\(\dfrac{5}{9}\)

\(\dfrac{x}{9}< \dfrac{4}{7}< \dfrac{x+1}{9}\)

=>\(\dfrac{7x}{63}< \dfrac{36}{63}< \dfrac{7x+7}{63}\)

\(\Rightarrow7x< 36< 7x+7\)

\(\Rightarrow x< \dfrac{36}{7}< x+1\)

\(\Rightarrow x< 5\dfrac{1}{7}< x+1\)

\(\Rightarrow x=5\)

tik cho mình nhé

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\(\left|2x-3\right|=x-1\)

\(\Rightarrow\orbr{\begin{cases}2x-3=x-1\\2x-3=1-x\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}2x-x=-1+3\\2x+x=1+3\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=2\\x=\frac{4}{3}\end{cases}}\)

=>có 2 trg hp

trg hp 1:-2x-3=x-1

=>-2x-2=x

=>-3x-2=0

=>-3x=2

=>ko cs x

trg hp 2:2x-3=x-1

=>2x-2=x

=>x-2=0

=>x=2 

vậy x=2

\(\left|2x-3\right|=x-1\)

\(\Leftrightarrow2x-3=x-1\)

\(\Leftrightarrow2x-3+1=x\)

\(\Leftrightarrow2x-2=x\)

\(\Leftrightarrow2x-x=2\)

\(\Leftrightarrow x=2\)

\(\text{Vậy }x=2\)

a, (2+x)(7-x)=0

=>\(\orbr{\begin{cases}2+x=0\\7-x=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-2\\x=7\end{cases}}\)

b,\(104x\times6x=0\Rightarrow\orbr{\begin{cases}104x=0\\6x=0\end{cases}}\Leftrightarrow x=0\)

c,x^2 - 3x=0

<=>x(x-3)=0

\(\orbr{\begin{cases}x=0\\x-3=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=0\\x=3\end{cases}}\)=>

a, => 2+X = 0 hoặc 7-X = 0

=> X = -2 hoăc X = 7

c, => X.(X-3) = 0

=> X = 0 hoặc X-3 = 0

=> X = 0 hoặc X = 3

Tk mk nha

Bài 1 :

a) x={2,4}

b) x-1={-3,-2,-1,0,1,2,3,4}

=> x={-2,-1,0,1,2,3,4,5}

c) x+2={-7,-6,-5,-4}

=> x={-9,-8,-7,-6}

Bài 2 :

(x-3)(x+2)=0

=> x-3=0 => x=3

=> x+2=0 => x=-2

Vậy x=-2 hoặc x=3

BÀI 1

A) 3<X<5

=>X=4

B) -4<X+2<5

=>X-1\(\in\left(-3;-2;-1;0;1;2;3;4\right)\)

=> X-1=-3             => X-1=-2                  =>X-1=-1             =>X-1=0               => X-1=1

X=-2                              X=-1                        X=    0                 X=1                       X=2

=>X-1=2             => X-1=3             =>X-1=4

X=3                              X=4              X=5

C) -8<X+2<-3

=> X+2\(\in\left(-7;-6;-5;-4\right)\)

=> X+2=-7            =>X+2=-6          =>X+2=-5                =>X+2=-4

  X=-9                      X=-8                   X=-7                           X=-6

BÀI 2

\(\left(X-3\right).\left(X+2\right)=0\)

\(\Rightarrow X-3=X+2=O\)

\(TH1:X-3=0\)

              X=3

TH2: X+2=0

      X=-2

VẬY X=3 HOẶC X=-2

Cảm ơn câu trả lời của 2 bạn nhé ! :)

a) (2+X)x(7-X)=0

14-2X+7X-X^2=0

X^2+5X+14=0

X^2+2X+7X+14=0

X(X+2)+7(x+2)=0

(X+7)(X+2)=0

x+7=0 hoặc x+2=0

x= -7 và x= - 2