Question

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 1

`-40\leq (5)/(9)F-32 \leq 125`

`-14.4\leq F \leq 282.6`

Explanation:

We are given the following in the question:

Relation to convert Fahrenheit into Celsius:

`C = (5)/(9)F-32`

Temperature range: -40°C and 125°C

Thus, we can write the inequality:

`-40 \leq x \leq 125`

where x is the temperature in Celsius.

Converting the temperature in Fahrenheit.

`-40\leq (5)/(9)F-32 \leq 125\\\\-40+32\leq (5)/(9)F\leq 125 + 32\\\\-8\leq (5)/(9)F\leq 157\\\\-72\leq 5F \leq 1413\\\\(-72)/(5)\leq F \leq (1413)/(5)\\\\-14.4\leq F \leq 282.6`

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