Question

Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance has a melting point of negative 37.57 degrees Upper C and a boiling point of 389.96 degrees Upper C. What is the range of temperatures in degrees Fahrenheit for which this substance is not in a liquid​ state? (Hint: Upper C equals five ninths left parenthesis Upper F minus 32 right parenthesis ​) Express the range as an inequality and in interval notation.

Answer 1

Answer:

  -35.626 < temperature < 733.928 . . . . degrees F

  (-35.626, 733.928)

Step-by-step explanation:

It is convenient to let a calculator evaluate the expression for converting °C to °F.

  -35.626 < temperature < 733.928 . . . . degrees F

  (-35.626, 733.928) . . . . . . . . . . . . . . . . . in interval notation

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The given relation is C = 5/9(F -32). The inverse relation is F = 9/5C +32. That is the relation we need to use to answer this question.