Question

Rezolvati in Z inecuatiile:
1. -2x+1>_(mai mare sau egal) -3x+4-5x
2. 3x+5<_(mai mic sau egal) 4x+2
3. 3(x+4)-5>2(x+1)

Answer 1

$a).-2x+1 \geq -3x+4-5x \\ -2x+3x+5x \geq 4-1 \\ 6x \geq 3 \\ x \geq \frac{3}{6} \\ x \geq \frac{1}{2} \\ \\ b).3x+5 \leq 4x+2 \\ 3x-4x \leq 2-5 \\ -x \leq -3 \\ x \geq 3$

$c).3(x+4)-5\ \textgreater \ 2(x+1) \\ 3x+12-5\ \textgreater \ 2x+2 \\ 3x-2x\ \textgreater \ 2-12+5 \\ x\ \textgreater \ -5$