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Math·Algebra·Linear inequalities in one or two variables

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A biologist is designing a study to observe the behavior of male and female amethyst-throated hummingbirds. According to the study’s design, at least 91 hummingbirds will be observed, and the positive difference between the number of males, $x$, and the number of females, $y$, will not exceed 8. Which of the following systems of inequalities represents this situation?

A

$x+y\ge 91$
$|x-y|\le 8$

B

$x+y\ge 91$
$x-y\le 8$

C

$x+y\le 91$
$x-y\ge 8$

D

$x+y\le 91$
$|x-y|\le 8$