Humans have a normal body temperature of 98.6°F. A temperature, x, that differs from normal by at least 2°F is considered unhealthy. Which inequality could be used to determine whether a temperature is unhealthy?

Respuesta :

Answer:

[tex]x\geq100.6[/tex] and [tex]x\leq 96.6[/tex]

Step-by-step explanation:

It is given that the normal body temperature is [tex]98.6^\circ F[/tex].

A temperature 'x' that differs from normal by at least [tex]2^\circ F[/tex] is considered unhealthy. So the inequality to represent such situation is,

[tex]\left | x-98.6 \right |\geq 2[/tex]

It can be further written as,

[tex]x-98.6\geq 2[/tex] and [tex]x-98.6\leq -2[/tex]

[tex]x\geq (98.6+2)[/tex] and [tex]x \leq(-2+98.6)[/tex]

[tex]x\geq100.6[/tex] and [tex]x\leq 96.6[/tex]

So the inequality to represent such condition is [tex]x\geq100.6[/tex] and [tex]x\leq 96.6[/tex] .

Answer:

|x − 98.6| ≥ 2

Step-by-step explanation:

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