Answer:
The range for the Fahrenheit temperature is -7.6 to 100.4
Explanation:
The initial inequality can be written as:
-22 ≤ °C ≤ 38
The formula for converting °C to °F is:
[tex]C=\frac{5}{9} (F-32)[/tex]
The replacing this equation on the inequality and solving for F we get.
-22 ≤ [tex]\frac{5}{9} (F-32)\\[/tex] ≤ 38
[tex]-22*\frac{9}{5}[/tex] ≤ F -32 ≤ [tex]38*\frac{9}{5}[/tex]
([tex]-22*\frac{9}{5}[/tex] )+32 ≤ F ≤ ([tex]38*\frac{9}{5}[/tex])+32
-7.6 ≤ F ≤ 100.4
Finally, The range for the Fahrenheit temperature is -7.6 to 100.4
