If 2x+3y=10 and y<4, then which of the following options is correct?According to me, x>-1 should be correct. But the question says x>0 is correct.

1) x>-1
2) x<-1
3) x>0
4) x<0

• let's consider y=3
  Then
  2x+9=10
  x=1/2
  for this case x>0
  now considering y=0
  2x=10
  x=5
  x>0 holds
  Now considering y=-1
  2x-3=10
  2x=13
  x=13/2
  x>0 holds
  considering y=-100
  2x-300=10
  2x=310
  x=155
  x>0 holds
  For any value of y, x won't be equal to 0
  That's why x>0 is the correct answer
• 5 years agoHelpfull: Yes(0) No(0)