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A={x\(\in\)N/ x<12}
=> A={0;1;2;3;4;5;6;7;8;9;10;11}
B={y\(\in\)N/ 11<y<20}
=>B={12;13;14;15;16;17;18;19}
C={z\(\in\) N/z=m (m+1);m=0;1;2;3}
=> C={0;2;4;6}
A = { x \(\in\) N / x < 12 }
=> A = { 0 ; 1 ; 2 ; 3 ; 4 ; ... ; 10 ; 11 }
B = { y \(\in\) N / 11 < y < 20 }
=> B = { 12 ; 13 ; ... ; 18 ; 19 }
C = { z \(\in\) N / m(m+1) ; m = 0 ; 1 ; 2 ; 3 }
+) Nếu m = 0
=> m(m+1) = 0.(0+1) = 0.1=0
+) Nếu m = 1
=> m(m+1) = 1 . ( 1 + 1 ) = 1 . 2 = 2
+) Nếu m = 2
=> m(m+1) = 2.(2+1) = 2.3=6
+) Nếu m = 3
=> m(m+1) = 3.(3+1) = 3. 4 = 12
Vậy C = { 0 ; 2 ; 6 ; 12 }
Bài 1:
1: =-5/24+16/27+3/4
=-5/24+18/24+16/27
=13/24+16/27
=117/216+128/216=245/216
2: =-1/3+1/3+6/7=6/7
3: \(=\dfrac{1}{2}-\dfrac{7}{12}+\dfrac{1}{2}=1-\dfrac{7}{12}=\dfrac{5}{12}\)
4: \(=-\dfrac{5}{8}+\dfrac{14}{25}-\dfrac{6}{10}=\dfrac{-125+112-120}{200}=\dfrac{-133}{200}\)
( -3/2 : 3/-4 ) . ( -4 - 9/20 ) - 1/4 < x/8 < -1/2 . 3/4 : 1/8 + 1
=>2.(-89)/20-1/4<x/8<-3+1
=>(-89)/10-1/4<x/8<-2
=>-203/20<x/8<-2
=>-406/40<5x/40<-80/40
=>-406<5x<-80
=>-406:5<x<-80:5
=>-81,2<x<-16
Vì x thuộc Z
=>81,2<-81<x<-16
=>\(x\in\left\{-81;-80;-79;...;-17;-16\right\}.\)
a: =>|x-5|=5-7x+7x+28=33
=>x-5=33 hoặc x-5=-33
=>x=-28 hoặc x=38
b: 1<=x-1<=2
=>2<=x<=3
=>x=2 hoặc x=3
c: \(0< =x-5< =2\)
=>5<=x<=7
=>\(x\in\left\{5;6;7\right\}\)
d: -4<x+3<4
=>-7<x<1
=>\(x\in\left\{-6;-5;...;-1;0\right\}\)
e: |x|<=3
=>\(x\in\left\{-3;-2;-1;0;1;2;3\right\}\)
f: |x+1|<=3
=>-3<=x+1<=3
=>-4<=x<=2
=>\(x\in\left\{-4;-3;-2;-1;0;1;2\right\}\)
a, -5/7+ 1+ 30/-7< x < -1/6+ 1/3 +5/6
<=> -4< x <1
<=> x = -3; -2; -1; 0
a, \(\dfrac{-5}{7}+1+\dfrac{30}{-7}\le x\le\dfrac{-1}{6}+\dfrac{1}{3}+\dfrac{5}{6}\)
<=> -4 \(\le x\le1\)
Do x \(\in Z\Rightarrow x=-4;-3;-2;-1;0;1\)
b, \(\dfrac{1}{2}-\left(\dfrac{1}{3}+\dfrac{1}{4}\right)< x< \dfrac{1}{48}-\left(\dfrac{1}{16}-\dfrac{1}{6}\right)\)
<=> -\(\dfrac{1}{12}< x< \dfrac{1}{8}\)
Do x \(\in Z\Rightarrow x=0;1\)
@Mai Tran