Question

3. Fie mulțimile A=(x aparține R|x²- 5x + 6 = 0},B={0,2,4). Determinați AUB, ANB, A\B, B/A, A × B.​

Answer 1

x² -5x +6 = 0, delta = 25 - 24 = 1

x1=(5+1)/2 = 6/2 = 3

x2 = (5-1)/2 = 4/2 = 2

A ={2,3}  si B={0,2,4}

AUB = {0,2,3,4}

A∩B={2}

A/B={3}

B/A={0,4}

Ax B = {(2,0),(2,2),(2,4),(3,0),(3,2),(3,4)}