e: \(\Leftrightarrow x\inƯ\left(24\right)\)

mà x là số chẵn

nên \(x\in\left\{2;4;6;8;12;24;-2;-4;-6;-8;-12;-24\right\}\)

f: \(\Leftrightarrow x+1\inƯ\left(20\right)\)

\(\Leftrightarrow x+1\in\left\{1;2;4;5;10;20\right\}\)

\(\Leftrightarrow x\in\left\{0;1;3;4;9;19\right\}\)

mà 5<x<20

nên \(x\in\left\{9;19\right\}\)

h: \(x\inƯ\left(50\right)\)

nên \(x\in\left\{1;2;5;10;25;50\right\}\)

mà \(x\in B\left(25\right)\)

nên \(x\in\left\{25;50\right\}\)

\(a,x\in\left\{-6;-5;...;2;3\right\}\\ b,x\in\left\{-2;-1;...;8;9\right\}\\ c,x\in\left\{-4;-3;-2;-1\right\}\\ d,x\in\left\{-10;-9;...;3;4\right\}\\ e,x\in\varnothing\\ f,x\in\left\{-1;0;1\right\}\)

a) Ta có: \(x+\dfrac{1}{3}=\dfrac{2}{6}\)

\(\Leftrightarrow x+\dfrac{1}{3}=\dfrac{1}{3}\)

hay x=0

Vậy: x=0

b) Ta có: \(x-\dfrac{1}{4}=\dfrac{1}{-2}\)

\(\Leftrightarrow x-\dfrac{1}{4}=\dfrac{-1}{2}\)

\(\Leftrightarrow x=\dfrac{-1}{2}+\dfrac{1}{4}=\dfrac{-2}{4}+\dfrac{1}{4}=\dfrac{-1}{4}\)

Vậy: \(x=-\dfrac{1}{4}\)

c) Ta có: \(\dfrac{-1}{6}=\dfrac{3}{2}x\)

\(\Leftrightarrow x=\dfrac{-1}{6}:\dfrac{3}{2}=\dfrac{-1}{6}\cdot\dfrac{2}{3}\)

hay \(x=\dfrac{-1}{9}\)

Vậy: \(x=\dfrac{-1}{9}\)

\(a.x=\dfrac{1}{3}-\dfrac{1}{3}\)

\(x=0\)

\(b.x-\dfrac{1}{4}=\dfrac{-1}{2}\)

\(x=\dfrac{-1}{2}+\dfrac{1}{4}\)

\(x=\dfrac{-1}{4}\)

c. \(\dfrac{-1}{6}=\dfrac{3}{2x}\)

\(-2x=18\)

\(x=-9\)

d. \(\dfrac{4}{5}=\dfrac{-12}{9-x}\)

\(4.\left(9-x\right)=-60\)

\(9-x=-15\)

\(x=24\)

\(e.\dfrac{x+1}{3}=\dfrac{3}{x+1}\)

\(\left(x+1\right)^2=9\)

\(\left[{}\begin{matrix}x+1=-3\\x+1=3\end{matrix}\right.\)

\(\left[{}\begin{matrix}x=-4\\x=2\end{matrix}\right.\)

f.\(\dfrac{x-1}{-4}=\dfrac{-4}{x-1}\)

\(\left(x-1\right)^2=16\)

\(\left[{}\begin{matrix}x-1=4\\x-1=-4\end{matrix}\right.\)

\(\left[{}\begin{matrix}x=5\\x=-3\end{matrix}\right.\)

e: =>2/7-x=2/5

=>7-x=5

=>x=2

f: =>2x+3/3=10/3

=>2x+3=10

=>2x=7

=>x=7/2

g: =>(14+x)/7=15/7

=>x+14=15

=>x=1

h: =>(2x+3)/x=13/x

=>2x+3=13

=>2x=10

=>x=5

a, \(x\in\left\{-5;-4;-3;-2;-1;0;1;2;3;4;5\right\}\)

Tổng các x thoả mãn: (-5+5)+(-4+4)+(-3+3)+(-2+2)+(-1+1)+0=0+0+0+0+0+0=0

b, \(x\in\left\{-3;-2;-1;0;1;2\right\}\)

Tổng các x thoả mãn: (-2+2) + (-1+1) + 0 + (-3) = 0 + 0 + 0 + (-3) = -3

c, \(x\in\left\{-1;0;1;2;3;4\right\}\)

Tổng các x thoả mãn: (-1+1) + 0 + 2 + 3 + 4 = 9

Tương tự cháu làm các câu d,e,f rồi gửi lên lại thầy check cho hí

\(\text{a) -5 ≤ x < 6 }\)

\(x\in\left\{-5;-4;-3;-2;-1;0;1;2;3;4;5\right\}\)

\(\text{b) -4 < x < 3}\)

\(x\in\left\{-3;-2;-1;0;1;2\right\}\)
\(\text{c) -1 ≤ x ≤ 4}\)

\(x\in\left\{-1;0;1;2;3;4\right\}\)               

\(\text{d) -5 < x < 2}\)

\(x\in\left\{-4;-3;-2;-1;0;1\right\}\)
\(\text{e) -5 < x < 5 }\)

\(x\in\left\{-4;-3;-2;-1;0;1;2;3;4\right\}\)

\(\text{f) -6 < x ≤ 4}\)

\(x\in\left\{-5;-4;-3;-2;-1;0;1;2;3;4\right\}\)

a) Ta có |x-5|=13

suy ra x-5=13 hoặc x-5=-13

suy ra x=18 hoặc x=-13

b) |x-3|<4

suy ra x-3<4 hoặc 3-x<4

suy ra x<7 hoặc x >-1

c) d) e) f) y) tương tự nha bạn!

a)

\(x-5=-1\)

\(x=-1+5\)

\(x=4\)

b)

\(x+30=4\)

\(x=4-30\)

\(x=-26\)

c)

\(x-(-24)=3\)

\(x+24=3\)

\(x=3-24\)

\(x=-21\)

d)

\(22-(-x)=12\)

\(22+x=12\)

\(x=12-22\)

\(x=-10\)

e)

\(( x + 5 ) + ( x - 9 ) = x + 2\)

\(x+5+x-9=x+2\)

\(x+x-x=2+9-5\)

\(x=6\)

f)

\(( 27 - x ) + ( 15 + x ) = x - 24\)

\(27-x+15+x=x-24\)

\(-x+x-x=-24-15-27\)

\(-x=-66\)

\(x=66\)

x - 5 = -1                                         x  - (-24) = 3

x      = -1 + 5                                    x + 24 = 3

x     = 4                                             x         = 3 - 24

x + 30 =  4                                        x        = - 21

x         = 4 - 30                            22  - ( -x) = 12

x         = - 26                               22 + x     =  12

x + 5 + ( x - 9) = x + 2                         x     = 12 - 22          

x + 5 + x - 9    =  x + 2                         x    = -10

2x  - x             = 2 - 5 + 9              ( 27 - x) + ( 15 + x) = x - 24

x                     = - 3 + 9                    27 - x + 15 + x    = x - 24

x                     = 6                             27 + 15              = x - 24

                                                               x - 24 = 42  

                                                               x          = 42 + 24

                                                                x           = 66

Giấy hơi nhàu, thông cảm :<