Question 1064765
 {{{ y - x < sqrt(x^2) }}}
 {{{  y - x < abs(x) }}}      ( sqrt(a) >= 0, by DEFINITION of sqrt() )
 {{{  y < x + abs(x) }}}

1.  if x<0 then the right hand side will be 0   
2.  If x>= 0 then the inequality holds as long as y < 2x

Based on 1 & 2,  A is the only correct answer.