Rozwiąż nierówność:
a) (2x-1)²>16
b) (4x-1)²≥0
e) -1<-(1-x)²
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Rozwiąż nierówność:
a) (2x-1)²>16
b) (4x-1)²≥0
e) -1<-(1-x)²
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a)
(2x-1)²>16 /√
2x-1>4 /+1
2x>5 /:2
x>2,5
b)
(4x-1)²≥0 /√
4x-1≥0 /+1
4x≥1 /:4
x≥0,25
c)
-1<-(1-x)²
-1<(-1+x)² /√
-1<-1+x /+1
o<x