Question

ajutor va rog punctaj maxim si restu plsss

Answer 1

Explicație pas cu pas:

$- 5 \leqslant \dfrac{2x + 1}{3} < 7$

$- 15 \leqslant 2x + 1 < 21$

$- 16 \leqslant 2x < 20$

$- 8 \leqslant x < 10$

$A = \Big[-8 ; 10 \Big)$

$|3x - 7| < 1$

$- 1 < 3x - 7 < 1$

$6 < 3x < 8$

$2 < x < \dfrac{8}{3}$

$B = \Big(2; \dfrac{8}{3}\Big)$

$A \cup B = \Big[-8 ; 10 \Big) \cup \Big(2; \dfrac{8}{3}\Big) = \Big[-8 ; 10 \Big) = A$

$A \cap B = \Big[-8 ; 10 \Big) \cap \Big(2; \dfrac{8}{3}\Big) = \Big(2; \dfrac{8}{3}\Big) = B$

$A - B = \Big[-8 ; 2 \Big] \cup \Big[ \dfrac{8}{3}; 10\Big)$

$B - A = \O$