Question

2. Rezolvaţi inecuaţiile:
a) 4(x + 1) + x + 4 <2(2x + 3), x € Z; b) |x-41 (x-21-3)<0, x= Z,
c)|x+1|<3,xe Z;
d) XV9-45 53/5−6, xe N".

Answer 1

Răspuns:

a) 4x+4+x+4<4x+6

4x+x-4x<6-4-4

5x-4x<2-4

x<-2

x € ( -♾️ , -2)

b) x-41 (x-21-3)<0

x-41 (x-24)<0

x-41x+984<0

-40x< -984

x> -984/-40 simplificam prin 8

x> 123/5

x € (123/5, + ♾️)

c) |x+1|< 3

-3 < x+1 < 3 |-1

-4 < x < 2

x € ( -4, 2)

d) XV9-45 53/5−6 (nu este scris clar)