Question

ex 12
Rezolva in Z_ inecuațiile:

Answer 1

a)

$\it 3x > -80|_{:3} \Rightarrow x > -\dfrac{80}{3} \Rightarrow x > -26\dfrac{2}{3} \Rightarrow x\in\{26,\ -25,\ -24,\ ...\}$

b)

$\it 5x < 1|_{:5} \Rightarrow x < \dfrac{1}{5} \Rightarrow x\in\{..., -3,\ -2\ -1,\ 0\}$

c)

$\it 2x < -3|_{:2} \Rightarrow x < -1,5 \Rightarrow x\in\{...,\ -4,\ -3,\ -2\}$

e)

$\it 3x+1 > -12|_{-1} \Rightarrow 3x > -13|_{:3} \Rightarrow x > -\dfrac{13}{3} \Rightarrow x > -4\dfrac{1}{3} \Rightarrow \\ \\ \\ \Rightarrow x\in\{-4,\ -3,\ -2,\ -1,\ 0,\ 1,\ 2,\ 3,\ ...\}$