Answer:
[tex]|x+5|=1.5[/tex]
is the equation describing minimum and maximum acceptable temperatures.
The minimum temperature could be [tex]-6.5^{\circ}[/tex]
and the maximum temperature could be [tex]-3.5^{\circ}[/tex]
Step-by-step explanation:
The owner of a butcher shop keeps the shop's freezer at -5°C. It is acceptable for the temperature to differ from this value by 1.5°. So, the minimum temperature could be
[tex]-5^{\circ}-1.5^{\circ}=-6.5^{\circ}[/tex]
and the maximum temperature could be
[tex]-5^{\circ}+1.5^{\circ}=-3.5^{\circ}[/tex]
Let [tex]x^{\circ}[/tex] be acceptable temperature of freezer. The difference between the acceptable temperature and given temperature [tex]x-(-5)=x+5[/tex] cannot be more than 1.5° and less than 1.5°, so
[tex]|x+5|\le 1.5[/tex]
Then
[tex]|x+5|=1.5[/tex]
is the equation describing minimum and maximum acceptable temperatures.
Solve it:
[tex]x+5=1.5\text{ or }x+5=-1.5\\ \\x=1.5-5\text{ or }x=-1.5-5\\ \\x=-3.5\text{ or }x=-6.5[/tex]
