It is recommended that anyone with a fever of over \( 104{ }^{\circ} \mathrm{F} \) go to a hospital. Solve the inequality \( 104<1.8 \mathrm{C}+32 \) to find the possible values of C , a temperature of a fever in degrees Celsius for which a person should go to a hospital. \( C C>40 \) \( C<45 \) \( C>45 \)
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To solve the inequality \( 104 < 1.8C + 32 \), we'll first isolate \( C \). Start by subtracting 32 from both sides: \[ 104 - 32 < 1.8C \] \[ 72 < 1.8C \] Now, divide both sides by 1.8 to solve for \( C \): \[ \frac{72}{1.8} < C \] \[ 40 < C \] This tells us that \( C > 40\). So, anyone with a temperature higher than \( 40{ }^{\circ} \mathrm{C} \) should definitely seek medical help! --- Fever has been a critical indicator of illness throughout history, with the ancient Greeks associating it with imbalances in the body's humors. Hippocrates famously noted the importance of observing temperature as a sign of disease severity, setting the stage for modern medical practices that prioritize fever management and patient monitoring. In real-world application, when someone is running a high fever, monitoring additional symptoms is crucial. If you're ever in doubt, don’t hesitate to go for medical assistance. It’s better safe than sorry, as temperatures over \( 40{ }^{\circ} \mathrm{C} \) can lead to serious complications!
