Punctul a)
A = {[tex]\displaystyle{ x \in \mathbb{R} }[/tex] | [tex]\displaystyle{ 4 \leqslant 2x - 6 \leqslant 10 }[/tex]}
[tex]\displaystyle{ 4 \leqslant 2x-6 \leqslant 10 }[/tex] | +6
[tex]\displaystyle{ 10 \leqslant 2x \leqslant 16 }[/tex] | :2
[tex]\displaystyle{ 5 \leqslant x \leqslant 8 }[/tex]
[tex]\displaystyle{ x \in [5, 8] \rightarrow A = [5,8] }[/tex]
Punctul b)
B = {[tex]\displaystyle{ x \in \mathbb{R} }[/tex] | [tex]\displaystyle{ 4 < \frac{2x-4}{5} \leqslant 8 }[/tex] }
[tex]\displaystyle{ 4 < \frac{2x-4}{5} \leqslant 8 }[/tex] | ×5
[tex]\displaystyle{ 20 < 2x - 4 \leqslant 40 }[/tex] | +4
[tex]\displaystyle{ 24 < 2x \leqslant 44 }[/tex] | :2
[tex]\displaystyle{ 12 < x \leqslant 22 }[/tex]
[tex]\displaystyle{x \in (12, 22] \rightarrow B = (12, 22] }[/tex]
