Răspuns :

Răspuns:

[tex] \bf4x + 3 \leqslant x - 10[/tex]

[tex]\bf4x - x + 3 \leqslant - 10[/tex]

[tex]\bf3x \leqslant - 10 - 3[/tex]

[tex]\bf 3x \leqslant - 13[/tex]

[tex]\bf x \leqslant - \dfrac{13}{3} \implies \red{x \in \bigg(- \infty ; -\dfrac{13}{3} \bigg]}[/tex]

Cel mai mare număr intreg care verifica inecuatia este -4 ➡️ Varianta a)

[tex]\it 4x+3\leq x-10 \Rightarrow 4x-x\leq -10-3 \Rightarrow 3x\leq-13 \Rightarrow x\leq-\dfrac{13}{3} \Rightarrow \\ \\ \\ \Rightarrow x\leq -4\dfrac{1}{3} \stackrel{x\in\mathbb{Z}}{\Longrightarrow}\ x\leq-5 \Rightarrow b)\ -5\ este\ r\breve aspunsul[/tex]