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a) Ta có :
\(\left|x\right|\le6\)
\(\Leftrightarrow\left|x\right|\in\left\{0;1;2;3;4;5;6\right\}\) (do \(\left|x\right|\ge0\))
\(\Leftrightarrow x\in\left\{-6;-5;-4;-3;-2;-1;0;1;2;3;4;5;6\right\}\)
Vậy \(x\in\left\{-6;-5;-4;-3;-2;-1;0;1;2;3;4;5;6\right\}\)
b) Ta có :
\(2\le\left|y-1\right|\le3\)
\(\Leftrightarrow\left|y-1\right|\in\left\{2;3\right\}\)
\(\Leftrightarrow y-1\in\left\{-2;-3;2;3\right\}\)
\(\Leftrightarrow y\in\left\{-1;-2;3;4\right\}\)
c) \(\left(x+1\right)\left(y+2\right)=-12\)
Vì \(x,y\in Z\Leftrightarrow x+1;y-2\in Z,x+1;y-2\inƯ\left(-12\right)\)
Bn tự lập bảng rồi tính tiếp nhé!
Ta có : 95\(⋮\)5 ; 2010\(⋮\)5
\(\Rightarrow\)x+6\(⋮\)5
\(\Rightarrow\)12<x+6\(\le\)27
\(\Rightarrow\)x+6\(\in\){15;20;25}
\(\Rightarrow\)x\(\in\){9;14;19}
Vậy x\(\in\){9;14;19}
(Sai thì xin lỗi nha)
\(x+6+95+2010=x+1+5+95+2010=x+1+100+2010=x+1+2110\)
Vì \(2110⋮5\)\(\Rightarrow\)Để \(\left(x+6+95+2010\right)⋮5\)thì \(\left(x+1\right)⋮5\)(1)
Vì \(12< x\le21\)\(\Rightarrow12< x+1\le22\)(2)
Từ (1), (2) \(\Rightarrow x+1\in\left\{15;20\right\}\)\(\Rightarrow x\in\left\{14;19\right\}\)
Vậy \(x\in\left\{14;19\right\}\)
\(-10\le\left|5-x\right|\le2\)
\(\Rightarrow\left|5-x\right|=1;2\)
\(\Rightarrow5-x=\pm1\) hoặc \(5-x=\pm2\)
+) \(5-x=1\Rightarrow x=4\)
+) \(5-x=-1\Rightarrow x=6\)
+) \(5-x=2\Rightarrow x=3\)
+) \(5-x=-2\Rightarrow x=7\)
Vậy \(x\in\left\{4;6;3;7\right\}\)
\(-10\le\left|5-x\right|\le2\\ \Rightarrow\left|5-x\right|=1;2\\ \Rightarrow5-x=\pm1ho\text{ặ}c5-x=\pm2\\ \)
+) \(5-x=1\\ \Rightarrow x=4\\ \)
+) \(5-x=-1\Rightarrow x=6\)
+) \(5-x=2\Rightarrow x=3\)
+) \(5-x=-2\Rightarrow x=7\\ \)
Vậy \(x\in\left\{4;6;3;7\right\}\)
Giải:
Theo bài ra ta có:
\(\frac{-5}{6}+\frac{8}{3}+\frac{29}{-6}\le x\le\frac{-1}{2}+2+\frac{5}{12}\)
\(\Rightarrow-3\le x\le\frac{23}{12}\)
\(\Rightarrow x\varepsilon\left\{-2;-1;0;1\right\}\)
\(\frac{-5}{6}+\frac{16}{6}+-\frac{29}{6}\le x\le\frac{-6}{12}+\frac{24}{12}+\frac{5}{12}\)
=>-3\(\le\) x\(\le\) 23/12
=> x thuộc{-2-1;0;1}
1)
B(37) = {0; 37; 74; 111;...}
2)
Ư(7) = {1; 7}
Ư(9) = {1; 3; 9}
Ư(10) = {1; 2; 5; 10}
Ư(16) = {1; 2; 4; 8; 16}
Ư(18) = {1; 2; 3; 5; 9; 18}
Ư(20) = {1; 2; 4; 5; 10; 20}
3)1) x = {0; 26; 39;52}
2) x = {0; 17; 34; 51}
3) x = {0; 12; 24; 36; 48;...}
4) x = {1; 2; 3; 5; 6; 10; 15; 30}
5) x = {0; 7; 14; 21; 28; 35; 42;49}
Sai thì thôi nha
HỌC TỐT!!!
a)x \(\in\){ -5; -4; -3; -2; -1;..;2005;2006;2007;2008;2009;2010}
b)x\(\in\){2004;2005;2006;2007;2008;2009;2010}
c)IxI\(\in\){0;1;2;3;4;5;6}
\(\Rightarrow\)x\(\in\){-6;-5;-4;-3;-2;-1;0;1;2;3;4;5;6}
-5 \(\le\)x\(\le\)2010 nên x \(\in\){-5; -4; -3; -2;...........; 2007; 2008; 2009; 2010}
2004\(\le\)x\(\le\)2010 nên x \(\in\){2004; 2005; 2006; 2007; 2008; 2009; 2010}
IxI \(\le\)6 nên x\(\in\){-6; -5; -4; -3; -2; -1; 0; 1; 2; 3; 4; 5; 6}