5) R is a relation on N given by R{(x, y)/4x + 3y = 20) which of the following belongs to R?
a) (5,0)
b) (-4,12)
c) (2,4)
d) (3,4).
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Answer:
4x + 3y = 20
x = 5, y = 0
x = 3,
12 + 3y = 20
3y = 8
y = 8 / 3
x = 2, 8 + 3y = 20
3y = 12
y = 4
x = (2, 4) is the only ordered pair that satisfies the given relation.
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