Question

Rezolvaţi în Z inecuaţiile: a)x+1<5. b)-x+7>4. C)5x-10<egal3x. d)|x-3|<1 e)|2x+2|<0. d)3(x+|x|)-6>egal0

Answer 1

a) x+1<5
x<5-1
x<4

b) -x+7>4
-x>4-7
-x>-3|: (-1)
x<3

c) 5x-10≤3x
5x-3x≤10
2x≤10 |:2
x≤5

d) |x-3|<1
x-3<1
x<1+3
x<4

e) |2x+2|<0
2x+2<0
2x<0-2
2x<-2|:2
x<-1

d) 3(x+|x|)-6≥0
3(2x)≥6
6x≥6| :6
x=1