A biologist is designing a study to observe the behavior of male and …

Question

Prompt

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?

x + y \geq 91

∣ x - y ∣ \leq 8

x + y \geq 91

x - y \leq 8

x + y \leq 91

x - y \geq 8

x + y \leq 91

∣ x - y ∣ \leq 8