2 < x : 8 + 7 - 6 < 4
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1) x\(\in\){-5;-4;-3;-2;-1;0;1;2;3}
2) x\(\in\){-10;-9;-8;-7;-6;-5;-4;-3;-2;-1;0;1;2;3;4;5;6;7;8;9}
3) x\(\in\) {-6;-5;-4;-3;-2;-1;0;1;2;3;4;5;6;7}
4) x\(\in\) {-11;-10;-9;-8;-7;-6;-5;-4;-3;-2;-1;0;1;2;3;4;5;6;7;8}
5) x\(\in\) {-9;-8;-7;-6;-5;-4;-3;-2;-1;0;1;2;3;4;5;6}
1, -6 < x < 4
=> x = { -5; -4; -3; -2; -1; 0; 1; 2; 3}
2, -11 < x < 10
=> x = { -10; -9; -8; -7; ....; 7 ; 8 ; 9}
3, -7 < x < 8
=> x = { -6; -5; -4; -3; -2; -1; 0; 1; 2; 3; 4; 5; 6; 7}
4, -12 < x < 9
=> x = { -11; -10; -9 ; ....; 5; 6; 7; 8}
5, -10 < x < 7
=> x = { -9; -8; -7; -6; .....; 5; 6}
1/ ta có: \(-4< x< 3\)
\(\Rightarrow x\in\left\{-3;-2;-1;0;1;2\right\}\)
Vậy tổng của dãy trên là:
\(-3+\left(-2+2\right)+\left(-1+1\right)+0=-3\)
2/ ta có: \(-5< x< 5\)
\(\Rightarrow x\in\left\{-4;-3;-2;-1;0;1;2;3;4\right\}\)
Vậy tổng của dãy trên là:
\(\left(-4+4\right)+\left(-3+3\right)+\left(-2+2\right)+\left(-1+1\right)+0=0\)
3/ Ta có:\(-10< x< 6\)
\(\Rightarrow x\in\left\{-9;-8;-7;....;4;5\right\}\)
Vậy tổng của dãy trên là:
\(\left(-9-8-7-6\right)+\left(-5+5\right)+...+\left(-1+1\right)+0=-30\)
a) \(x=\dfrac{1}{4}+\dfrac{2}{13}\)
\(x=\dfrac{13}{52}+\dfrac{8}{52}\)
⇒ \(x=\dfrac{21}{52}\)
b) \(\dfrac{x}{3}=\dfrac{2}{3}+\dfrac{-1}{7}\)
\(\dfrac{x}{3}=\dfrac{14}{21}+\dfrac{-3}{21}\)
\(\dfrac{x}{3}=\dfrac{11}{21}\)
⇒ \(x=\dfrac{11.3}{21}=\dfrac{33}{21}\)
⇒ \(x=\dfrac{11}{7}\)
c) \(\dfrac{-8}{3}+\dfrac{1}{3}< x< \dfrac{-2}{7}+\dfrac{-5}{7}\)
\(\dfrac{-17}{7}< x< -1\)
⇒ \(-17< x< -7\)
⇒ \(x\in\left\{-16;-15,....;-6\right\}\)
d) \(\dfrac{1}{6}+\dfrac{2}{5}\)
\(=\dfrac{5}{30}+\dfrac{12}{30}\)
\(=\dfrac{17}{30}\)
e) \(\dfrac{3}{5}+\dfrac{-7}{4}\)
\(=\dfrac{12}{20}+\dfrac{-35}{20}\)
\(=\dfrac{-23}{20}\)
f) \(\dfrac{4}{13}+\dfrac{-12}{30}\)
\(=\dfrac{4}{13}+\dfrac{-2}{5}\)
\(=\dfrac{20}{65}+\dfrac{-26}{65}\)
\(=\dfrac{-6}{65}\)
g) \(\dfrac{-3}{29}+\dfrac{16}{58}\)
\(=\dfrac{-6}{58}+\dfrac{16}{58}\)
\(=\dfrac{10}{58}\)
h) \(\dfrac{8}{40}+\dfrac{-36}{45}\)
\(=\dfrac{1}{5}+\dfrac{-4}{5}\)
\(=\dfrac{-3}{5}\)
j) \(\dfrac{-8}{18}+\dfrac{15}{27}\)
\(=\dfrac{-2}{9}+\dfrac{5}{9}\)
\(=\dfrac{3}{9}\)
\(=\dfrac{1}{3}\)
5/6<x<11/40
=>100/120<x<33/120
=>100<x<33
=>x thuộc{99;98;97;...;30;31;32}
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