harpazo
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Section R.2
Algebra Essentials
Michael Sullivan
Textbook: College Algebra Edition 9
Normal human body temperature is 98.6 degrees F. A temperature x differs from normal by at least 1.5 degrees F is considered unhealthy. A formula that describes this is
|x - 98.6| ≤ 1.5
A. Show that a temperature of 97 degrees F is unhealthy.
Solution:
|x - 98.6| ≤ 1.5
Let x = 97
|97 - 98.6| ≤ 1.5
| -1.6 | ≤ 1.5
1.6 ≤ 1.5...This is an untrue statement. I conclude that a 97 degrees F is an unhealthy temperature.
B. Show that a temperature of 100 degrees F is not unhealthy.
Solution:
|x - 98.6| ≤ 1.5
Let x = 100
|100 - 98.6| ≤ 1.5
| 1.4 | ≤ 1.5
1.4 ≤ 1.5...This is a true statement. I conclude that a temperature of 100 degrees F is NOT unhealthy.
I'm almost sure to be right for A and B.
Algebra Essentials
Michael Sullivan
Textbook: College Algebra Edition 9
Normal human body temperature is 98.6 degrees F. A temperature x differs from normal by at least 1.5 degrees F is considered unhealthy. A formula that describes this is
|x - 98.6| ≤ 1.5
A. Show that a temperature of 97 degrees F is unhealthy.
Solution:
|x - 98.6| ≤ 1.5
Let x = 97
|97 - 98.6| ≤ 1.5
| -1.6 | ≤ 1.5
1.6 ≤ 1.5...This is an untrue statement. I conclude that a 97 degrees F is an unhealthy temperature.
B. Show that a temperature of 100 degrees F is not unhealthy.
Solution:
|x - 98.6| ≤ 1.5
Let x = 100
|100 - 98.6| ≤ 1.5
| 1.4 | ≤ 1.5
1.4 ≤ 1.5...This is a true statement. I conclude that a temperature of 100 degrees F is NOT unhealthy.
I'm almost sure to be right for A and B.