Question

1.Fie multimile A={-2;-1;3} si B={0;2}.

Determinati AxB,BxA,AxA,BxB.


2.Se considera multimile:
C={-3;1} si D={x∈Z*||x|≤2}.
Scrieti produsele carteziene CxD si DxC

3.Daca AxB={(-4,0),(-4,2),(-4,4),
(-4,6),(-2,0),(-2,2),(-2,4),(-2,6)}
determinati multimile A si B

Answer 1

Răspuns:

1. AXB= { (-2,0); (-1,0); (3,0) ; (-2,2) ; (-1,2) ;(3,2)}

BXA={ (0,-2), (0,-1) , (0,3) ,(2,-2), (2, -1), (2,3)}

AXA= { (-2, -2), (-1,-1), (3,3)}

BXB= { (0,0), (2,2)}

2. D={ -2, -1, 0, 1,2}

CXD= { (-3,-2),( -3,-1), (-3,0), (-3,1), (-3,2), (1, -2), (1, -1),  (1,0), (1, 1), (1,2)}

3.  A={ -4, -2}

B={ 0, 2, 4, 6}