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Chicago has a temperature of -10 degrees Fahrenheit. It is colder in Minneapolis than in Chicago. Select all the values that could represent the temperature in Minneapolis.

A. 12 degrees Fahrenheit
B. 8 degrees Fahrenheit
C. -8 degrees Fahrenheit
D. -12 degrees Fahrenheit
E. -20 degrees Fahrenheit

Answer :

We are given that Chicago’s temperature is
[tex]$$T_{\text{Chicago}} = -10^\circ \text{F}$$[/tex]
and that Minneapolis is colder than Chicago. This means that the temperature in Minneapolis, say
[tex]$$T_{\text{Minneapolis}},$$[/tex]
must satisfy the inequality
[tex]$$T_{\text{Minneapolis}} < -10^\circ \text{F}.$$[/tex]

We have the following candidate temperatures for Minneapolis:
[tex]$$12^\circ \text{F}, \quad 8^\circ \text{F}, \quad -8^\circ \text{F}, \quad -12^\circ \text{F}, \quad -20^\circ \text{F}.$$[/tex]

Now, we check each candidate against the condition:

1. For [tex]$12^\circ \text{F}$[/tex]:
[tex]$$12 > -10,$$[/tex]
so [tex]$12^\circ \text{F}$[/tex] is not a valid option.

2. For [tex]$8^\circ \text{F}$[/tex]:
[tex]$$8 > -10,$$[/tex]
thus [tex]$8^\circ \text{F}$[/tex] is not valid.

3. For [tex]$-8^\circ \text{F}$[/tex]:
[tex]$$-8 > -10,$$[/tex]
so [tex]$-8^\circ \text{F}$[/tex] is also not valid.

4. For [tex]$-12^\circ \text{F}$[/tex]:
[tex]$$-12 < -10,$$[/tex]
which satisfies the condition. Therefore, [tex]$-12^\circ \text{F}$[/tex] is a valid choice.

5. For [tex]$-20^\circ \text{F}$[/tex]:
[tex]$$-20 < -10,$$[/tex]
which also satisfies the condition. So, [tex]$-20^\circ \text{F}$[/tex] is a valid option.

Thus, the temperatures in Minneapolis that are colder than Chicago are
[tex]$$-12^\circ \text{F} \quad \text{and} \quad -20^\circ \text{F}.$$[/tex]

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Rewritten by : Jeany