Question

AJUTOR!!!! DAU COROANĂ+100 P ( 50) ​

Answer 1

Răspuns:

Explicație pas cu pas:

Answer 2

Explicație pas cu pas:

$\dfrac{3(x - 2) + 5}{2} < x + 2 < \dfrac{4(x + 3) + 1}{3}$

$\dfrac{3(x - 2) + 5}{2} < x + 2 \\ 3(x - 2) + 5 < 2(x + 2)$

$3x - 6 + 5 < 2x + 4$

$3x - 2x < 4 + 1$

$\implies x < 5$

$x + 2 < \dfrac{4(x + 3) + 1}{3} \\ 3(x + 2) < 4(x + 3) + 1$

$4x + 12 + 1 > 3x + 6$

$4x - 3x > 6 - 13$

$\implies x > - 7$

$- 7 < x < 5 \implies$

$x \in \Big\{ -6; -5; -4; -3; -2; -1; 1; 2; 3; 4\Big\}$