Questions: Select the correct answer. In January, Bangkok is hotter than Cape Town while Cape Town is hotter than Moscow. Which inequality correctly compares the temperatures of the three cities? A. Bangkok's temperature < Cape Town's temperature < Moscow's temperature B. Bangkok's temperature < Moscow's temperature < Cape Town's temperature C. Bangkok's temperature > Moscow's temperature > Cape Town's temperature D. Bangkok's temperature > Cape Town's temperature > Moscow's temperature

Select the correct answer. In January, Bangkok is hotter than Cape Town while Cape Town is hotter than Moscow. Which inequality correctly compares the temperatures of the three cities? A. Bangkok's temperature < Cape Town's temperature < Moscow's temperature B. Bangkok's temperature < Moscow's temperature < Cape Town's temperature C. Bangkok's temperature > Moscow's temperature > Cape Town's temperature D. Bangkok's temperature > Cape Town's temperature > Moscow's temperature
Transcript text: Select the correct answer. In January, Bangkok is hotter than Cape Town while Cape Town is hotter than Moscow. Which inequality correctly compares the temperatures of the three cities? A. Bangkok's temperature < Cape Town's temperature < Moscow's temperature B. Bangkok's temperature < Moscow's temperature < Cape Town's temperature C. Bangkok's temperature > Moscow's temperature > Cape Town's temperature D. Bangkok's temperature > Cape Town's temperature >'Moscow's temperature
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Solution

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Solution Steps

Step 1: Analyze the Given Information

The problem states that in January, Bangkok is hotter than Cape Town, and Cape Town is hotter than Moscow. We need to determine the correct inequality that represents this relationship.

Step 2: Translate the Information into Inequality

From the given information:

  • Bangkok's temperature is greater than Cape Town's temperature.
  • Cape Town's temperature is greater than Moscow's temperature.

This can be written as: \[ \text{Bangkok's temperature} > \text{Cape Town's temperature} > \text{Moscow's temperature} \]

Step 3: Match the Inequality with the Options

We compare the inequality we derived with the given options:

  • Option A: Bangkok's temperature < Cape Town's temperature < Moscow's temperature
  • Option B: Bangkok's temperature < Moscow's temperature < Cape Town's temperature
  • Option C: Bangkok's temperature > Moscow's temperature > Cape Town's temperature
  • Option D: Bangkok's temperature > Cape Town's temperature > Moscow's temperature

The correct inequality is represented by Option D.

Final Answer

\(\boxed{\text{D}}\)

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