Question

19. 19. Каково множество решений неравенства: 1)(x-1)^2>0 2)(x-1)^2≥0 3)(x-1)^2<0
4)0x>-5 6)0x<-5
7)0x>5

Answer 1

$1)\ \ (x-1)^20\ \ \ \to \ \ \ (x-1)^2\ne 0\ \ ,\ \ x\ne 1\ \ ,\ \ x\in (-\infty ;\ 1\ )\cup (\ 1\ ;+\infty \, )\\\\2)\ \ (x-1)^2\geq 0\ \ \ \to \ \ \ x\in (-\infty ;+\infty \, )\\\\3)\ \ (x-1)^2-5\ \ \to \ \ \ 0-5\ \ verno\ \ pri\ \ \ x\in (-\infty ;+\infty \, )\\\\6)\ \ 0\cdot x5\ \ neverno\ \ ,\ \ x\in \varnothing$