|х-1|+|х+2|≥4
х-1+х+2≥4,х-1≥0,х+2≥0
-(х-1)+х+2≥4,х-1<0,х+2≥0
х-1-(х+2)≥4,х-1≥0,х+2<0
-(х-1)-(х+2)≥4,х-1<0,х+2<0
х≥,х≥1,≥-2
х∈∅,х<1,х≥-2
х∈∅,х≥1,х<-2
х≤, х<1,х<-2
х≥,х∈[1;+∞)
х∈∅,х∈[-2;1)
х∈∅,х∈∅
х≤,х∈(-∞;-2)
х∈;+∞)
х∈∅
х∈(-∞;
Ответ:x∈(-∞;∪;+∞).
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Answers & Comments
|х-1|+|х+2|≥4
х-1+х+2≥4,х-1≥0,х+2≥0
-(х-1)+х+2≥4,х-1<0,х+2≥0
х-1-(х+2)≥4,х-1≥0,х+2<0
-(х-1)-(х+2)≥4,х-1<0,х+2<0
х≥
,х≥1,≥-2
х∈∅,х<1,х≥-2
х∈∅,х≥1,х<-2
х≤
, х<1,х<-2
х≥
,х∈[1;+∞)
х∈∅,х∈[-2;1)
х∈∅,х∈∅
х≤
,х∈(-∞;-2)
х∈
;+∞)
х∈∅
х∈∅
х∈(-∞;![-\frac{5}{2}] -\frac{5}{2}]](https://tex.z-dn.net/?f=-%5Cfrac%7B5%7D%7B2%7D%5D)
Ответ:x∈(-∞;
∪
;+∞).