Răspuns:
[tex]\boldsymbol{ \red{A = \Big[-5; \ 3\Big], \ B = \Big(-4; \ 6 \Big]}}[/tex]
Explicație pas cu pas:
Mulțimea A:
[tex]|x+1|\leq 4 \implies -4 \leq x+1\leq 4 \implies -4-1 \leq x \leq 4-1\\[/tex]
[tex]\implies -5 \leq x \leq 3[/tex]
[tex]A = \Big[-5; \ 3\Big][/tex]
Mulțimea B:
[tex]-4 < \dfrac{5x+12}{2} \leq 21 \implies -8 < 5x + 12 \leq 42\\[/tex]
[tex]-8-12 < 5x \leq 42-12 \implies -20 < 5x \leq 30[/tex]
[tex]\implies -4 < x \leq 6[/tex]
[tex]B = \Big(-4; \ 6 \Big][/tex]
