Question

Vă rog, ex din imagine ! Mulțumesc mult !!

Answer 1

A intersectat cu B ={-3;3}
A reunit cu B={-5;7}

Answer 2

$\it -2\leq\dfrac{3x+5}{2}<13|_{\cdot2} \Rightarrow -4\leq3x+5<26|_{-5} \Rightarrow -9\leq3x<21|_{:3} \Rightarrow \\ \\ \\ \Rightarrow -3\leqx<7 \Rightarrow x\in[-3,\ \ 7) \Rightarrow A=[-3,\ \ 7)\\ \\ \\ -9\leq\dfrac{5x+7}{2}\leq11|_{\cdot2} \Rightarrow -18\leq5x+7\leq22|_{-7} \Rightarrow -25\leq5x\leq15|_{:5} \Rightarrow \\ \\ \\ \Rightarrow -5\leq x\leq3 \Rightarrow B=[-5,\ \ 3]$

$\it A\cup B=[-3,\ \ 7)\cup[-5,\ \ 3]=[-5,\ \ 7)\\ \\ A\cap B=[-3,\ \ 7)\cap[-5,\ \ 3]=[-3,\ \ 3]$