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The label on the cars antifreeze container claims to protect the car between -40°C and 125°C to convert Celsius temperature to Fahrenheit temperature the formula is C equals 5/9 F -32 right and solve the inequality to determine the Fahrenheit temperature range at which is anti-freeze protects the car

Answer :

Answer:

[tex]-40\leq \dfrac{5}{9}F-32 \leq 125[/tex]    

[tex]-14.4\leq F \leq 282.6[/tex]

Step-by-step explanation:

We are given the following in the question:

Relation to convert Fahrenheit into Celsius:

[tex]C = \dfrac{5}{9}F-32[/tex]

Temperature range:  -40°C and 125°C

Thus, we can write the inequality:

[tex]-40 \leq x \leq 125[/tex]

where x is the temperature in Celsius.

Converting the temperature in Fahrenheit.

[tex]-40\leq \dfrac{5}{9}F-32 \leq 125\\\\-40+32\leq \dfrac{5}{9}F\leq 125 + 32\\\\-8\leq \dfrac{5}{9}F\leq 157\\\\-72\leq 5F \leq 1413\\\\\dfrac{-72}{5}\leq F \leq \dfrac{1413}{5}\\\\-14.4\leq F \leq 282.6[/tex]

is the range of temperature in Fahrenheit that the anti freeze protect the car.

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