Answer:
The antifreeze protects the car between -40°F and 257°F
Step-by-step explanation:
Inequalities
The range of Celsius temperatures the car's antifreeze protects the car is
[tex]-40 \le ^\circ C \le 125[/tex]
To convert °C to °F we use the formula:
[tex]\displaystyle ^\circ C=\frac{5}{9}(^\circ F-32)[/tex]
To find the equivalent range of temperatures in °F, substitute the formula:
[tex]\displaystyle -40 \le \frac{5}{9}(F-32) \le 125[/tex]
Multiply by 9, divide by 5:
[tex]\displaystyle -40*9/5 \le F-32 \le 125*9/5[/tex]
Operating:
[tex]\displaystyle -72 \le F-32 \le 225[/tex]
Adding 32:
[tex]\displaystyle -72+32 \le F \le 225+32[/tex]
Operating, we get the range of temperatures in °F:
[tex]\displaystyle -40 \le F \le 257[/tex]
The antifreeze protects the car between -40°F and 257°F
