At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour.
Write an inequality that represents 't', the number of hours past midnight, when the temperature was colder than -4 degrees Celsius.
The inequality is
Question Blank
Blank Options
-4
The inequality that represents 't', the number of hours past midnight, when the temperature was colder than -4 degrees Celsius is:
5 - 2t < -4
To solve this inequality, we can isolate the variable 't' by performing the following steps:
1. Subtract 5 from both sides to move the constant term to the right side of the inequality:
-2t < -9
2. Divide both sides by -2. Since we are dividing by a negative number, the inequality sign will flip:
t > -9 / -2
Simplifying further, we get:
t > 4.5
Therefore, the value of 't' must be greater than 4.5 hours past midnight for the temperature to be colder than -4 degrees Celsius.