Question

Va rog doar ex 5 a, b, c

Answer 1

$C=\left \{ a,b,c \right \}$

$a)A\cup B=C$

$1)A=\left \{ a,b \right \}$

$B=\left \{ c \right \}$

$\left \{ a,b \right \}\cup \left \{ c \right \}=\left \{ a,b,c \right \}$

$2)A=\left \{ a,c \right \}$

$B=\left \{ a,b \right \}$

$\left \{ a,c \right \}\cup \left \{ a,b \right \}=\left \{ a,b,c \right \}$

$b)A \cap B=C$

$1)A=\left \{ a,b,c,d,e,f \right \}$

$B=\left \{ a,b,c,g\right \}$

$\left \{ a,b,c,d,e,f\right \}\cap \left \{ a,b,c,g \right \}=\left \{ a,b,c \right \}$

$2)A=\left \{ a,b,c\right \}$

$B=\left \{ a,b,c,d\right \}$

$\left \{ a,b,c\right \}\cap \left \{ a,b,c,d \right \}=\left \{ a,b,c \right \}$

$c)A \setminus B=C$

$1)A=\left \{ a,b,c\right \}$

$B=\left \{ d,e,f\right \}$

$\left \{ a,b,c\right \}\setminus \left \{ d,e,f \right \}=\left \{ a,b,c \right \}$

$2)A=\left \{ a,b,c,d\right \}$

$B=\left \{ d,e,f,g,h\right \}$

$\left \{ a,b,c,d\right \}\setminus \left \{d,e,f,g,h \right \}=\left \{ a,b,c \right \}$