Question

The human body has a normal temperature of 98.6°F. Doctors will get worried if a sick patient has a temperature that

varies from the normal by more than 3°F. Create an absolute value inequality and solve it to determine what body
temperatures would be considered unhealthy.​

Answer 1

Answer: | t- 98.6 | ≤ 3

Temperatures less than 95.6 and higher than 101.6 will be considered unhealthy.

Explanation:

Hi, to answer this question we have to write an inequality

.

| t- 98.6 | ≤ 3

Where t is the body temperature.

The absolute value inequality has 2 solutions:

1st solution

t-98.6≤ 3

t ≤ 3+98.6

t≤ 101.6

2nd solution

-(t-98.6) ≤ 3

-t+98.6 ≤ 3

98.6-3 ≤ t

95.6≤ t

Both:

95.6≤ t ≤ 101.6

Temperatures less than 95.6 and higher than 101.6 will be considered unhealthy.