a, 2 \(\le\)|x+3|\(\le\)3
b, 4\(\le\)|4-x|\(\le\)5
c, 1 < |x+3| < 5
Ai nhanh mình tích , cơ hội kiếm điểm nè
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a: \(\Leftrightarrow-\dfrac{23}{5}\cdot\dfrac{50}{23}< =x< =-\dfrac{12}{5}:\dfrac{7}{5}=\dfrac{-12}{7}\)
=>-10<=x<=-12/7
hay \(x\in\left\{-10;-9;-8;-7;-6;-5;-4;-3;-2\right\}\)
b: \(\Leftrightarrow-\dfrac{13}{3}\cdot\dfrac{1}{3}< =x< =-\dfrac{2}{3}\cdot\dfrac{1}{8}\)
=>-13/9<=x<=-1/12
hay \(x=-1\)
\(A=\left\{-3;-2;-1;0;1;2;3;4;5\right\}\)
\(B=\left[3;a\right]\)
\(C=(-\infty;5]\)
\(D=[3;5)\)
\(E=[-2;+\infty)\)
\(F=\left\{0;1;2;3;4;5;6\right\}\)
\(G=\left(1;+\infty\right)\)
\(H=(-\infty;-1]\)
\(K=(-1;5]\)
\(I=(-\infty;4]\)
ĐKXĐ: \(x\ge1\)
\(3\sqrt[]{x-1}+m\sqrt[]{x+1}=2\sqrt[4]{\left(x-1\right)\left(x+1\right)}\)
\(\Leftrightarrow3\sqrt[]{\dfrac{x-1}{x+1}}+m=2\sqrt[4]{\dfrac{x-1}{x+1}}\)
Đặt \(\sqrt[4]{\dfrac{x-1}{x+1}}=t\Rightarrow0\le t< 1\)
\(\Rightarrow3t^2+m=2t\Leftrightarrow-3t^2+2t=m\)
Xét \(f\left(t\right)=-3t^2+2t\) trên \([0;1)\)
\(f'\left(t\right)=-6t+2=0\Rightarrow t=\dfrac{1}{3}\)
\(f\left(0\right)=0;f\left(\dfrac{1}{3}\right)=\dfrac{1}{3};f\left(1\right)=-1\)
\(\Rightarrow-1< f\left(t\right)\le\dfrac{1}{3}\)
\(\Rightarrow-1< m\le\dfrac{1}{3}\)
a: \(\Leftrightarrow-\dfrac{23}{5}\cdot\dfrac{50}{23}< =x< =\dfrac{-13}{5}:\dfrac{21}{15}\)
=>-10<=x<=-13/7
hay \(x\in\left\{-10;-9;...;-2\right\}\)
b: \(\Leftrightarrow-\dfrac{13}{3}\cdot\dfrac{1}{3}< =x< =-\dfrac{2}{3}\cdot\dfrac{-11}{12}\)
=>-13/9<=x<=11/18
hay \(x\in\left\{-1;0\right\}\)
a)2 _<[x+3]_<3 =>x E{0} ;b)4_<[4-x]_<5=>x E {0} ; 1<[x+3] <5=>x {0;1}