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c) \(\dfrac{x+1}{35}+\dfrac{x+2}{34}+\dfrac{x+3}{33}=\dfrac{x+4}{32}+\dfrac{x+5}{31}+\dfrac{x+6}{30}\)
\(\Rightarrow\dfrac{x+1}{35}+1+\dfrac{x+2}{34}+1+\dfrac{x+3}{33}+1=\dfrac{x+4}{32}+1+\dfrac{x+5}{31}+1+\dfrac{x+6}{30}+1\)
\(\Rightarrow\dfrac{x+1+35}{35}+\dfrac{x+2+34}{34}+\dfrac{x+3+33}{33}=\dfrac{x+4+32}{32}+\dfrac{x+5+31}{31}+\dfrac{x+6+30}{30}\)
\(\Rightarrow\dfrac{x+36}{35}+\dfrac{x+36}{34}+\dfrac{x+36}{33}=\dfrac{x+36}{32}+\dfrac{x+36}{31}+\dfrac{x+36}{30}\)
\(\Rightarrow\dfrac{x+36}{35}+\dfrac{x+36}{34}+\dfrac{x+36}{33}-\dfrac{x+36}{32}-\dfrac{x+36}{31}-\dfrac{x+36}{30}=0\)
\(\Rightarrow\left(x+36\right)\left(\dfrac{1}{35}+\dfrac{1}{34}+\dfrac{1}{33}+\dfrac{1}{32}+\dfrac{1}{31}+\dfrac{1}{30}\right)=0\)
\(\Rightarrow x+36=0\left(\text{vì }\dfrac{1}{35}+\dfrac{1}{34}+\dfrac{1}{33}+\dfrac{1}{32}+\dfrac{1}{31}+\dfrac{1}{30}\ne0\right)\)
\(\Rightarrow x=-36\)
Vậy ...
a/ Ta có: \(-4\dfrac{3}{5}.2\dfrac{4}{3}\le x\le-2\dfrac{3}{5}:1\dfrac{6}{15}\)
\(\Rightarrow\dfrac{-23}{5}.\dfrac{10}{3}\le x\le\dfrac{-13}{5}:\dfrac{21}{15}\)
\(\Rightarrow\dfrac{-46}{3}\le x\le\dfrac{-13}{5}.\dfrac{15}{21}\)
\(\Rightarrow\dfrac{-46}{3}\le x\le\dfrac{-13}{7}\)
\(\Rightarrow-15,\left(3\right)\le x\le-1,\left(857142\right)\)
Vì x \(\in\) Z nên x \(\in\left\{-1;-2;-3;...;-15\right\}\)
Chúc bạn học tốt!!!
a) 11(x-6)= 4x+11
<=> 11x-66= 4x+11
<=>11x-4x= 11+66
<=> 7x= 77
=>x=11
Vậy: x=11
b) \(4\dfrac{1}{3}\left(\dfrac{1}{6}-\dfrac{1}{2}\right)=\dfrac{13}{3}.\dfrac{-1}{3}=-\dfrac{13}{9}=-1\dfrac{4}{9}\)
\(\dfrac{2}{3}\left(\dfrac{1}{2}-\dfrac{1}{3}-\dfrac{3}{4}\right)=\dfrac{2}{3}.\dfrac{-7}{12}=-\dfrac{7}{18}\)
Vậy: x= -1
a)2 _<[x+3]_<3 =>x E{0} ;b)4_<[4-x]_<5=>x E {0} ; 1<[x+3] <5=>x {0;1}
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!
\(4\frac{1}{3}.\left(\frac{1}{6}-\frac{1}{2}\right)\le x\le\frac{2}{3}.\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{4}\right)\)
\(\frac{13}{3}.\frac{-1}{3}\le x\le\frac{2}{3}.\frac{-1}{12}\)
\(\frac{-13}{9}\le x\le\frac{-1}{18}\)
\(\Rightarrow\frac{-26}{18}\le x\le\frac{-1}{18}\)
\(\Rightarrow x\in\left(\frac{-26}{18};...;\frac{-18}{18};...\frac{-1}{18}\right)\)
mà x phải thuộc Z
\(\Rightarrow x=\frac{-18}{18}=-1\)
CHÚC BN HỌC TỐT!
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) Ta có : \(0< \left|x+1\right|\le3\)
\(\Rightarrow\left|x+1\right|\in\left\{1;2;3\right\}\)
\(\Rightarrow x+1\in\left\{-1;1;-2;2;-3;3\right\}\)
\(\Rightarrow x\in\left\{-2;0;-3;1;-4;2\right\}\)
b) Ta có : \(0< \left|x\right|< 3\)
\(\Rightarrow\left|x\right|\in\left\{1;2\right\}\)
\(\Rightarrow x\in\left\{\pm1;\pm2\right\}\)
c) Ta có : \(-3\le\left|x+1\right|\le3\)
\(\Rightarrow\left|x+1\right|\in\left\{0;1;2;3\right\}\)
\(\Rightarrow x+1\in\left\{0;-1;1;-2;2;-3;3\right\}\)
\(\Rightarrow x\in\left\{-1;-2;0;-3;1;-4;2\right\}\)
a/ Vì \(x\ge3>-\frac{2}{3}\) nên giá trị biểu thức là :
\(x+\frac{2}{3}+x-3=2x-\frac{7}{3}\)
b/ Vì \(x>2>\frac{4}{3}>-\frac{2}{5}\) nên giá trị biểu thức là :
\(-\left(x+\frac{2}{5}\right)+\left(x-\frac{4}{3}\right)=-\frac{4}{3}-\frac{2}{5}=-\frac{26}{15}\)
-3 =< x => x + 3 >= 0 => |x+ 3| = x+3
x =< -1 => 0 =< -x -1 => |-x -1| = -x -1
Vậy A = x+3 - x - 1 = 2