During winter, detroit is colder than boston but warmer than minneapolis. which inequality correctly compares the winter temperatures of the three cities? 1. detroit temperature's < boston's temperature < minneapolis's temperature 2. minneapolis's temperature < detroit's temperature < boston's temperature 3. boston's temperature < minneapolis's temperature < detroit's temperature 4. detroit's temperature < minneapolis's temperature < boston's temperature

We will take one given at a time, the common place is "Detroit", so we will take it as a reference.

1- Detroit is colder than Boston, this means that:
Temperature in Detroit < Temperature in Boston > I

2- Detroit is warmer that Minneapolis, this means that:
Temperature is Minneapolis < Temperature in Detroit > II

From I and II, we can conclude that:
Minneapolis has the lowest temperature, followed by Detroit and then Boston.

Comparing this to the choices, we will find that the correct choice is:
2. Minneapolis's temperature < Detroit's temperature < Boston's temperature