Question

1. Rezolvați ecuațiile în R :
a) 4(x+2)-3x=-17
b) 6(x+3)-4=2x-42
c) 4x+1-3(x+2)=2(x-4)
d) 4(x+5)-3(x-3)=2(x+15)
c)
e )
f)││x-3│-5│= 4

2. Rezolvați inecuațiile în R:
a ) 4x-10 < 30 ;
b) 2(x+3)< x-5
c) 4(x+3)< 3x+7
d) 6(x-2)+x ≤ 5(x+4)
e)
f) 3│2x-1│ +5x ≤ 5(x+5)+2
h)

Answer 1

Răspuns:

a) 4(x+2)-3x=-17

4x+8-3x=-17

x+8=-17

x=-17-8

x=-25

b) 6(x+3)-4 = 2x-42

6x+18-4=2x-42

6x-2x=-42-18+4

4x=-56

x=-56:4

x=-14

c) 4x +1-3(x+2)=2(x-4)

4x+1-6x-6=2x-8

-2x+2x=-8-1+6

-3

a) 4x-10 <30

4x<30+10

4x<40

x<40:4

x<10

b)2(x+3)<x-5

2x+6<x-5

2x-x<-5-6

x<-11

c)4(x+3)<3x+7

4x+12<3x+7

4x-3x<7-12

x<-4

d)6(x-2)+x<5(x+4)

6x-12+x<5x+20

7x-5x<20+12

2x<32

x<32:2

x<16