Question

Diberikan himpunan q={1,2,3,4,5,6} dan himpunan r={5,6,7,8,9,10,11 12,13, 14, 15, 16, 17,18,19,20} . nyatakan relasi a terhadap relasi b dengan bentuk relasi b=3a + 2 . nyatakan pula dalam bentuk pasangan berurutan , serta tentukan daerah asal , daerah kawan dan daerah hasil dari relasi tersebut .?

Answer 1

A = {1, 2, 3, 4, 5, 6}
b = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

b = 3a + 2
a = 1 ⇒ b = 5
a = 2 ⇒ b = 8
a = 3 ⇒ b = 11
a = 4 ⇒ b = 14
a = 5 ⇒ b = 17
a = 6 ⇒ b = 20
Himpunan pasangan berurutan:
{(1,5), (2,8), (3,11), (4,14), (5,17), (6,20)}

daerah asal:
a = {1, 2, 3, 4, 5, 6}
daerah kawan:
b = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}
range:
{5, 8, 11, 14, 17, 20}