Question

Sa se determine multimile A intersectat cu B, A reunit cu B, Si A\B, stiind ca:
a) A= { 1,2,3,4} B= { 2, 4, 6} ;
b) A= {1,2,5,7,9} B= { 1,3,9,11} ;
c) A= { 2,4,6,8 } B= { 10,12,14} ;
d) A= { a,b,c,d,e} B= { c,d,e} .

Answer 1

$a)A=\left \{ 1,2,3,4 \right \}$

$B=\left \{ 2,4,6 \right \}$

$A\cap B=\left \{ 2,4\right \}$

$A\cup B=\left \{ 1,2,3,4,6\right \}$

$A\setminus B=\left \{ 1,3\right \}$

$b)A=\left \{ 1,2,5,7,9\right \}$

$B=\left \{ 1,3,9,11\right \}$

$A\cap B=\left \{ 1,9\right \}$

$A\cup B=\left \{ 1,2,3,5,7,9,11\right \}$

$A\setminus B=\left \{2,5,7 \right \}$

$c)A=\left \{ 2,4,6,8\right \}$

$B=\left \{ 10,12,14\right \}$

$A\cap B=\varnothing$

$A\cup B=\left \{2,4,6,8 ,10,12,14 \right \}$

$A\setminus B=\left \{2,4,6,8 \right \}$

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

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

$A\cap B=\left \{c,d,e \right \}$

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

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