if R is a relation ont he set A= { 1,2,3,4,5,6,7,8,9} given by xRy<=>y=3x, then R=?
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Answer:
R = { (1, 3), (2, 6), (3, 9) }
Step-by-step explanation:
Formally, xRy means that the ordered pair (x, y) is in the set R.
On the other hand, the rule
xRy ⇔ y=3x
says that xRy when y=3x.
The ordered pairs (x, y) with y=3x (and elements taken from A, of course) are:
- (1, 3), (2, 6), (3, 9)
So...
R = { (1, 3), (2, 6), (3, 9) }
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