Rozwiąż nierówność :
a) |x|>4
b) |x+4|<2
c) |x-5|<1
d) 2+|2x-2|>12
a)
|x|>4
x>4
x<-4
x∈(-4,4)
b)
|x+4|<2
x+4<2
x<-2
x+4>-2
x>-6
x∈(-6,-2)
c)
|x-5|<1
x-5<1
x<6
x-5>-1
x∈(4,6)
d)
2+|2x-2|>12
|2x-2|>10
2x-2>10
2x>12
x>6
2x-2<-10
2x<-8
x∈(-∞,-4)u(6,+∞)
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a)
|x|>4
x>4
x<-4
x∈(-4,4)
b)
|x+4|<2
x+4<2
x<-2
x+4>-2
x>-6
x∈(-6,-2)
c)
|x-5|<1
x-5<1
x<6
x-5>-1
x>4
x∈(4,6)
d)
2+|2x-2|>12
|2x-2|>10
2x-2>10
2x>12
x>6
2x-2<-10
2x<-8
x<-4
x∈(-∞,-4)u(6,+∞)