asked 25.2k views
5 votes
The label on the car's antifreeze container claims to protect the car between −40°C and 125°C. To convert Celsius temperature to Fahrenheit temperature, the formula is C = 5 over 9 (F − 32). Write and solve the inequality to determine the Fahrenheit temperature range at which this antifreeze protects the car.

−40 > 5 over 9 (F − 32) > 125; −40 > F > 257

−40 < 5 over 9 (F − 32) < 125; −40 < F < 257

−40 < 5 over 9 (F − 32); −40 < F

5 over 9 (F − 32) < 125; F < 257

2 Answers

2 votes

Answer; −40 < 5 over 9 (F − 32) < 125; −40 < F < 257

answered
User Carl Weis
by
8.9k points
3 votes
Given
Between -40°C and 125°C

°C = 5/9 * (°F-32)
°C ÷ 5/9 = °F - 32
°C * 9/5 + 32 = °F

°F = -40°C * 9/5 + 32 = -360/5 + 32 = -72 + 32 = -40°F

°F = 125°C * 9/5 + 32 = 1125/5 + 32 = 225 + 32 = 257°F

−40 < 5 over 9 (F − 32) < 125; −40 < F < 257
answered
User ANisus
by
8.2k points
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