Cho A={\(x\varepsilon R|\)\(|x|\)\(\le0\)}
B={\(x\varepsilon R|\)\(^{x^2-6x+9}\)>0}
C={\(x\varepsilon Z|-5\le x< 2\)}
Tìm A,B,C
Tìm \(A\)giao B, A hợp B, A giao C,
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A=[-3,2] B=(0,8] C=(-\(\infty\),-1) D=[6,+\(\infty\))
(A\(\cap\)B)\(\cup\)C=(-\(\infty\),2]
A\(\cup\)(B\(\cap\)C)=[-3,2]
(A\(\cap\)C)\B=[-3,-1)
(D\B)\(\cap\)A=[-3,+\(\infty\))
R\A=(-\(\infty\),-3)\(\cup\left(2,+\infty\right)\)
R\B=(-\(\infty\),0]\(\cup\left(8,+\infty\right)\)
R\C=[-1,+\(\infty\))
a, D={1; 2; 3; 6}
b, B={-4; -3; -2; -1; 0; 1; 2; 3; 4}
c, C={-3; -2; -1; 0; 1; 2; 3}
a, \(x\in\left\{1,2,3,4,6,8,12,24\right\}\)
b, \(x\in\left\{-3,-2,-1,0,1,2,3,4\right\}\)
c, \(x\in\left\{-3,-2,-1,0,1,2,3\right\}\)
\(a.\frac{2}{x}=\frac{x}{8}\)
\(\Rightarrow x^2=2.8\)
\(\Rightarrow x^2=16\)
\(\Rightarrow x^2=4^2\)
\(\Rightarrow x=4\)
\(b.\frac{-28}{4}\le x\le\frac{-21}{7}\)
\(\Rightarrow\frac{-196}{28}\le\frac{28x}{28}\le\frac{-84}{28}\)
\(\Rightarrow-196\le28x\le-84\)
Mà \(28x⋮28\)
\(\Rightarrow28x\in\left\{-84;-112;-140;-168;-196\right\}\)
\(\Rightarrow x\in\left\{-3;-4;-5;-6;-7\right\}\)