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ex 12
Rezolva in Z_ inecuațiile:



Ex 12 Rezolva In Z Inecuațiile class=

Răspuns :

a)

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

b)

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

c)

[tex]\it 2x < -3|_{:2} \Rightarrow x < -1,5 \Rightarrow x\in\{...,\ -4,\ -3,\ -2\}[/tex]

e)

[tex]\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,\ ...\}[/tex]