Question

Determinați numerele întregi ,,x,, care verifică simultan relațiile:

Answer 1

sper ca te-am ajutat

Answer 2

1)

[tex]\it -\dfrac{9}{2} \ \textless \ x\leq\dfrac{3}{4} \Rightarrow -4\dfrac{1}{2} \ \textless \ x\leq\dfrac{3}{4} \Rightarrow -5\ \textless \ -4\dfrac{1}{2} \ \textless \ x\leq\dfrac{3}{4}\ \textless \ 1 \Rightarrow \\\;\\ \\\;\\ \Rightarrow -5 \ \textless \ x\ \textless \ 1 \Rightarrow x\in \{-4, -3, -2, -1, 0\}[/tex]

2)

[tex]\it 5x\ \textless \ 3x+(-\dfrac{5}{4}) \Rightarrow 5x-3x\ \textless \ -\dfrac{5}{4} \Rightarrow 2x\ \textless \ -\dfrac{5}{4}|_{\cdot\frac{1}{2}}\Rightarrow x\ \textless \ -\dfrac{5}{8} \ \textless \ 0\Rightarrow \\\;\\ \\\;\\ \Rightarrow x \in \{...-4, -3, -2, -1\} \Rightarrow x\in \mathbb{Z}_{-}[/tex]

Numerele întregi care verifică simultan ambele relații sunt:

x∈ {-4, -3, -2, -1}