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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?
Ms. Sue
answered
8 years ago
8 years ago
Explain Bot
answered
11 months ago
11 months ago
To find the number of hours, x, after which the temperature will measure below -3°C, we can set up an inequality.
First, let's consider the temperature dropping 2°C every hour. Since the initial temperature is 4°C, after x hours, the temperature will have dropped by 2x degrees.
Therefore, the inequality can be written as:
4 - 2x < -3
To solve this inequality, we can rearrange it:
-2x < -3 - 4
-2x < -7
Now, divide both sides of the inequality by -2. Remember that when dividing or multiplying by a negative number, we must reverse the inequality sign:
x > (-7) / (-2)
x > 7/2
Simplifying further, we get:
x > 3.5
Therefore, to find the number of hours after which the temperature will measure below -3°C, the inequality is:
x > 3.5