x and y are consecutive positive integers and:
x > y , x^2 - 1 > y^2 - 4y + x - 1
Which of the following represents all the possible values of Y?
* y >=0
* y > 0
* y > 1
* y > 7
* y > 8
please provide detailed answer.
lets see x>y then x=y+1
x^2 - 1= (x-1)(x+1) => (y+1-1)(Y+1+1)=y(Y+2) or y^2 +2y>y^2-4y+y+1-1
5y>0 which means y>0 , however, the stems says x and y are consecutive POSITIVE intgers..therefore y>0 or y=1 ..or 2..