Решите уравнение [x]=1 [x]=-11 [x]=x [x+5]=1-x
plizz
1)Целая часть числа х - это НАИБОЛЬШЕЕ целое, не превосходящее х.Поэтому 2,5\\2,52,5\\2,5 Так как к-целое, то к=3 и 1-х=3, х=-2
![[x] \leq x<[x]+1\\1) \;\; [x]=1\;\;\; \Rightarrow 1 \leq x<2\\2)\;\; [x]=-11\;\;\Rightarrow \;\;\;-11 \leq x<-10\\3)\;\;[x]=x\;\; \Rightarrow x\in Z\\4)\;\;[x+5]=1-x\\\;\; Svojstvo\;\;{x+m]=[x]+m, esli\;\;m\in Z\; (m-tceloe)\\\;\;[x+5]=[x]+5](https://tex.z-dn.net/?f=%5Bx%5D+%5Cleq+x%3C%5Bx%5D%2B1%5C%5C1%29+%5C%3B%5C%3B++%5Bx%5D%3D1%5C%3B%5C%3B%5C%3B+%5CRightarrow+1+%5Cleq+x%3C2%5C%5C2%29%5C%3B%5C%3B+%5Bx%5D%3D-11%5C%3B%5C%3B%5CRightarrow+%5C%3B%5C%3B%5C%3B-11+%5Cleq+x%3C-10%5C%5C3%29%5C%3B%5C%3B%5Bx%5D%3Dx%5C%3B%5C%3B+%5CRightarrow+x%5Cin+Z%5C%5C4%29%5C%3B%5C%3B%5Bx%2B5%5D%3D1-x%5C%5C%5C%3B%5C%3B+Svojstvo%5C%3B%5C%3B%7Bx%2Bm%5D%3D%5Bx%5D%2Bm%2C+esli%5C%3B%5C%3Bm%5Cin+Z%5C%3B+%28m-tceloe%29%5C%5C%5C%3B%5C%3B%5Bx%2B5%5D%3D%5Bx%5D%2B5+ "[x] \leq x<[x]+1\\1) \;\; [x]=1\;\;\; \Rightarrow 1 \leq x<2\\2)\;\; [x]=-11\;\;\Rightarrow \;\;\;-11 \leq x<-10\\3)\;\;[x]=x\;\; \Rightarrow x\in Z\\4)\;\;[x+5]=1-x\\\;\; Svojstvo\;\;{x+m]=[x]+m, esli\;\;m\in Z\; (m-tceloe)\\\;\;[x+5]=[x]+5")
2,5\\2,52,5\\2,5