Question

determine the relation R on the set of whole numbers less than 10 defined by R={ (x,y) : 2x+3y=12}​

Answer 1

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) }

Answer 2

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)}

THE PREVIOUS ANSWER IS NOT CORRECT SO I PUT THIS HOPE IT'S HELP U