Respuesta :
Option A : 25° C
Option C : -43° C
Option E : 0° C
Explanation:
It is given that the Methanol is in liquid form if its temperature is between -93.9°C and 64.96°C.
Let x represents the Methanol's temperature. Writing the temperature in interval notation, we have,
[tex]-93.9<x<64.96[/tex]
Now, let us determine from the given options that the temperatures at what are all the temperatures the methanol will be in liquid form.
Option A: 25° C
It is obvious that the 25° C lies in the interval [tex]-93.9<x<64.96[/tex]
Hence, at 25° C Methanol will be in liquid form.
Thus, Option A is the correct answer.
Option B: -95° C
We can see that the temperature -95° C does not lie in the interval [tex]-93.9<x<64.96[/tex]
Hence, at -95° C Methanol will not be in liquid form.
Thus, Option B is not the correct answer.
Option C: -43° C
We can see that the temperature -43° C lies in the interval [tex]-93.9<x<64.96[/tex]
Hence, at -43° C Methanol will be in liquid form.
Thus, Option C is the correct answer.
Option D: 67° C
We can see that the temperature 67° C does not lie in the interval [tex]-93.9<x<64.96[/tex]
Hence, at 67° C Methanol will not be in liquid form.
Thus, Option D is not the correct answer.
Option E: 0° C
We can see that the temperature 0° C lies in the interval [tex]-93.9<x<64.96[/tex]
Hence, at 0° C Methanol will be in liquid form.
Thus, Option E is the correct answer.
Option F: 89° C
We can see that the temperature 89° C does not lie in the interval [tex]-93.9<x<64.96[/tex]
Hence, at 89° C Methanol will not be in liquid form.
Thus, Option F is not the correct answer.
Methanol be in liquid form at temperature of 25°C , -43°C and 0°C.
Since, given that Methanol be in liquid form if its temperature is between - -93.9°C and 64.96°C.
So, all temperature values lies between -93.9°C and 64.96°C , Methanol will be in liquid form.
25°C lies between range.
-95°C not lies in range.
-43°C lies between range.
0°C lies between range.
89°C not lies between range.
Therefore, Methanol be in liquid form at temperature of 25°C , -43°C and 0°C.
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