Question

Sejam os conjuntos A={1,3,5,7,9} e B={0,2,4,6,8}. represente as relações a seguir por meio de diagramas de flechas e identifique.
a)i={x,y}eAxB/y=2x-2]
b)h={x,y}eAxB/y∠x+2}

Answer 1

Resposta:

A × B = {(1, 0), (1, 2), (1, 4), (1, 6), (1, 8), (3, 0), (3, 2), (3, 4), (3, 6), (3, 8), (5, 0), (5, 2), (5, 4), (5, 6), (5, 8), (7, 0), (7, 2), (7, 4), (7, 6), (7, 8), (9, 0), (9, 2), (9, 4), (9, 6), (9, 8)}

a) y = 2x - 2

{(1, 0), (3, 4), (5, 8)}

1 ----------> 0

3 ----------> 4

5 ----------> 8

b) y < x + 2

{(1, 0), (1, 2), (3, 0), (3, 2), (3, 4), (5, 0), (5, 2), (5, 4), (5, 6), (7, 0), (7, 2), (7, 4), (7, 6), (7, 8), (9, 0), (9, 2), (9, 4), (9, 6), (9, 8)}

1 ----------> 0, 2

3 ----------> 0, 2, 4

5 ----------> 0, 2, 4, 6

7 ----------> 0, 2, 4, 6, 8

9 ----------> 0, 2, 4, 6, 8