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 - 47.36°c and a boiling point of 374.58°c. what is the range of temperatures in degrees fahrenheit for which this substance is not in a liquid state? (hint: c = \\(\frac{5}{9}(f - 32)\\)). express the range as an inequality.
let x represent the temperature in degrees fahrenheit. what is the range of temperatures for which this substance is not in a liquid state?
(type an inequality or a compound inequality. simplify your answer. use integers or decimals for any numbers in the expression. round to three decimal places as needed.)

Explanation:

Step1: Convert temperatura de fusión a Fahrenheit

Usamos la fórmula $C=\frac{5}{9}(F - 32)$. Re - arreglamos para $F$: $F=\frac{9}{5}C+32$. Dado $C=-47.36$, entonces $F=\frac{9}{5}\times(-47.36)+32$.
$F=\frac{-426.24}{5}+32=-85.248 + 32=-53.248$.

Step2: Convert temperatura de ebullición a Fahrenheit

Dado $C = 374.58$, entonces $F=\frac{9}{5}\times374.58+32$.
$F=\frac{3371.22}{5}+32=674.244+32 = 706.244$.

Step3: Encontrar rango no líquido

La sustancia no está en estado líquido cuando $x\leq -53.248$ o $x\geq 706.244$.

Answer:

$x\leq -53.248$ or $x\geq 706.244$