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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.

Respuesta :

Answer:

[tex] |T- 98.6| \geq 3[/tex]

And in order to solve this we have two possibilities:

Solution 1

[tex] T -98.6 \leq -3[/tex]

And solving for T we got:

[tex] T \leq 98.6- 3[/tex]

[tex] T\leq 95.6[/tex]

Solution 2

And the other options would be:

[tex] T -98.6 \geq 3[/tex]

[tex] T \geq 101.6[/tex]

Step-by-step explanation:

For this case we can define the variable os interest T as the real temperature and we know that if we are 3 F more than the value of 98.6 we will be unhealthy so we can set up the following equation:

[tex] |T- 98.6| \geq 3[/tex]

And in order to solve this we have two possibilities:

Solution 1

[tex] T -98.6 \leq -3[/tex]

And solving for T we got:

[tex] T \leq 98.6- 3[/tex]

[tex] T\leq 95.6[/tex]

Solution 2

And the other options would be:

[tex] T -98.6 \geq 3[/tex]

[tex] T \geq 101.6[/tex]

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