Question

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?

Answer 1

|x − 98.6| ≥ 2

Explanation:

Answer 2

`x\geq100.6` and
`x\leq 96.6`

Explanation:

It is given that the normal body temperature is
`98.6^\circ F`.

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

`\left | x-98.6 \right |\geq 2`

It can be further written as,

`x-98.6\geq 2` and
`x-98.6\leq -2`

`x\geq (98.6+2)` and
`x \leq(-2+98.6)`

`x\geq100.6` and
`x\leq 96.6`

So the inequality to represent such condition is
`x\geq100.6` and
`x\leq 96.6` .