To determine when the temperature will be below [tex]$32^{\circ} F$[/tex] given that it starts at [tex]$60^{\circ} F$[/tex] and decreases by [tex]$3^{\circ} F$[/tex] each hour, we need to set up an inequality.
1. Start with the initial temperature, which is [tex]$60^{\circ} F$[/tex].
2. The temperature decreases by [tex]$3^{\circ} F$[/tex] each hour. After [tex]$h$[/tex] hours, the temperature will be reduced by [tex]$3h$[/tex] degrees. So, the temperature after [tex]$h$[/tex] hours can be described by the expression [tex]$60 - 3h$[/tex].
3. We want to find when this resulting temperature is below [tex]$32^{\circ} F$[/tex]. Therefore, we need to set up the inequality:
[tex]\[ 60 - 3h < 32 \][/tex]
4. This inequality will allow us to solve for the number of hours, [tex]$h$[/tex], after which the temperature will be below [tex]$32^{\circ} F$[/tex].
So, the correct inequality for this problem is:
[tex]\[ 60 - 3h < 32 \][/tex]
The correct answer is:
[tex]\[ \boxed{C. \ 60 - 3h < 32} \][/tex]
