Zadanie 1.
a)
[tex]A=\{-4,-3,-1,1\}\qquad B=\{-2,-1,0,1,2\}\\A\cup B=\{-4,-3,-2,-1,0,1,2\}\\A\cap B=\{-1,1\}\\B\backslash A=\{-2,0,2\}[/tex]
b)
[tex]A=\{1,2,3,4,6,9,12,18,36\}\qquad B=\{1,2,3,4,6,8,12,16,24,48\}\\A\cup B=\{1,2,3,4,6,8,9,12,16,18,24,36,48\}\\A\cap B=\{1,2,3,4,6,12\}\\B\backslash A=\{8,16,24,48\}[/tex]
c)
[tex]B=\{2,3,5\}\qquad A\cup B=\{0,2,3,4,5,7\}\qquad B\backslash A=\{5\}\\A=\{0,2,3,4,7\}\\A\cap B=\{2,3\}[/tex]
Zadanie 2.
a)
[tex]A=(-\infty;-2)\qquad B=\left < -4;\sqrt2\right)\\A\cup B=(-\infty;\sqrt2)\\A\cap B=\left < -4;-2\right)\\B\backslash A=\left < -2;\sqrt2\right)[/tex]
b)
[tex]A=\left < -\frac{1}{2};\frac{1}{2}\right > \qquad B=(-\pi;\infty)\\A\cup B=(-\pi;\infty)\\A\cap B=\left < -\frac{1}{2};\frac{1}{2}\right > \\B\backslash A=(-\pi;-\frac{1}{2})\cup(\frac{1}{2};\infty)[/tex]
c)
[tex]A=\left(-\infty;-\sqrt3\right > \qquad B=\left < -\sqrt3;\infty\right)\\A\cup B=\mathbb{R}\\A\cap B=\{-\sqrt3\}\\B\backslash A=(-\sqrt3;\infty)[/tex]
