Question

Dau coroana raspunsului corect si rapid

Answer 1

$\it x\in \mathbb{Z}_{-},\ \ x>-5\ \ \ \ (*)\\ \\ a)\ 3x-2\geq5x-4 \Rightarrow -2+4\geq5x-3x \Rightarrow 2\geq2x \Rightarrow2x\leq2|_{:2} \Rightarrow\\ \\ \Rightarrow x\leq1 \stackrel{(*)}{\Longrightarrow} x\in\{-4,\ -3,\ -2,\ -1 \}.$

$\it b)\ |x+1|\leq4 \Rightarrow -4 \leq x+1\leq4|_{-1} \Rightarrow -5\leq x\leq3 \Rightarrow\\ \\ \stackrel{(*)}{\Longrightarrow} x\in \{-4,\ -3,\ -2,\ -1 \}$