If $b > a$,then the equation $(x - a)(x - b) = 1$ has

  • A
    Both roots in $[a, b]$
  • B
    Both roots in $(-\infty, a)$
  • C
    Both roots in $(b, +\infty)$
  • D
    One root in $(-\infty, a)$ and the other in $(b, +\infty)$

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