determine the relation R on the set of whole numbers less than 10 defined by R={ (x,y) : 2x+3y=12}
Answers
Answered by
16
Answer:
R = { (-6,8), (-3,6), (0,4), (3,2), (6,0), (9,-2) }
Step-by-step explanation:
- x < 10 ⇒ 2x < 20 ⇒ 12 - 3y < 20 ⇒ 4 - y ≤ 6 ⇒ y ≥ -2
So -2 ≤y <10.
Also, since 3y = 12-2x = 2(6-x), y must be an even number.
The only possibilities for y then are -2, 0, 2, 4, 6, 8. Putting these in and solving for x each time gives:
- R = { (-6,8), (-3,6), (0,4), (3,2), (6,0), (9,-2) }
Answered by
4
Answer:
R = {(0,4),(3,2),(6,0)}
Step-by-step explanation:
Whole number start from 0( i.e 0 to +infinity )
here condition is < 10
so x,y€{0,1,2,3,4,5,6,7,8,9}
WHEN WE PUT x=0 it gives y= 4 for the condition 2x+3y=12
similarly x=3, y=2
and x=6, y=0
SO R= {(0,4),(3,2),(6,0)}
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