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] .