Question

determinati x€R, pentru care sunt adevarate relatiile: [x]< -5 ; [x]< (sau egal) -5 ; [x]> 4 ; [x] > (sau egal) 4 .​

Answer 1

$\it [x]<-5\ \Rightarrow [x]\leq-6 \Rightarrow x\in(-\infty,\ \ -5)$

$\it [x]\leq-5\ \Rightarrow x\in(-\infty,\ \ -4)$

$\it [x] > 4 \Rightarrow x\geq5 \Rightarrow x\in[5,\ \ \infty)$

$\it [x]\geq4 \Rightarrow x\geq4 \Rightarrow x\in[4,\ \ \infty)$