Question

Решите пожалуйста !!!
|x^2-2x-3|<=(x+1)^2

Answer 1

$|x^2-2x-3| leq (x+1)^2\\|(x+1)(x-3)| leq |x+1|^2\\|x+1|cdot |x-3|-|x+1|^2 leq 0\\|x+1|cdot (|x-3|-|x+1|) leq 0\\Tak; ; kak; ; |x+1| geq 0; ,; to; |x-3|-|x+1| leq 0\\1)quad x textless -1:; -x+3-(-x-1) leq 0,; 4 leq 0; ; neverno\\2)quad -1 textless x leq 3:; ; -x+3-(x+1) leq 0; ,-2x leq -2,; x geq 1\\xin (-1,3, ]\\3)quad x textgreater 3: ; ; x-3-(x+1) leq 0; ,-4 leq 0; verno\\4)quad |x+1|=0; ; pri; ; x=-1\\Otvet:; xin [-1,+infty )$