Question

reprezentati fiecare dintre elementele urmatoarelor multimi,scriind elementele intre acolade:
A = {x|x € Z, 3x = 6};
C = {x|x e Z, -2x = 10};
E = {x|x€ Z, X - 7 = 3};
G= {x|x€ Z, -7x = 5x};
B={x|x € Z,-7x=0}
D= {x|x € Z,-x-5=0
F= {x|x € Z,3(x+1)=3x+3}
H= {x|x € Z,2(x+1)=2x-5}​

Answer 1

Răspuns:

A = {x|x € Z, 3x = 6} ={ 2}

3x=6

x=2

C = {x|x e Z, -2x = 10} = { - 5}

-2x=10 /:(-2)

x=-5

E = {x|x€ Z, X - 7 = 3}= {10 }

x-7=3

x=10

G= {x|x€ Z, -7x = 5x}= { - 5/7}

-7x=5x /:(-7)

x= - 5/7

B={x|x € Z,-7x=0} ={0}

-7x=0 /:(-7)

x=0

D= {x|x € Z,-x-5=0}= {-5}

-x-5=0

-x=5 :/(-1)

x=-5

F= {x|x € Z,3(x+1)=3x+3}={ 0, 1}

3(x+1)=3x+3

3x+3=3x+3

0=0

SAU

3(x+1)=3x+3

3(x+1)=3(x+1) /:3

x+1=x+1 /-1

x=x

H= {x|x € Z,2(x+1)=2x-5}​={0}

2(x+1)=2x-5

2x+2=2x-5

0x=-7

x=0

Explicație pas cu pas: