The temperature in Toronto at noon during a winter day measured 4°C. The temperature started dropping 2° every hour. Which inequality can be used to find the number of hours, x, after which the temperature will measure below -3°C?
4 - 2x < -3
To find the number of hours after which the temperature will measure below -3°C, we need to determine the inequality that represents the temperature dropping 2° every hour.
Let's start by setting up an equation to represent the temperature dropping 2° every hour:
Temperature at noon = 4°C
Temperature after x hours = 4 - 2x
To find the number of hours after which the temperature will measure below -3°C, we can set up an inequality:
Temperature after x hours < -3°C
Substituting the expression for temperature into the inequality, we get:
4 - 2x < -3
Now, we can solve this inequality to find the value of x:
4 - 2x < -3
Subtract 4 from both sides:
-2x < -7
Divide both sides by -2, remembering to reverse the inequality sign when dividing by a negative number:
x > 7/2
Therefore, the inequality that represents the number of hours after which the temperature will measure below -3°C is:
x > 7/2