Translation into an inequality:

The phrase states that the temperatures range between 54°F and 78°F, which means the temperature can be greater than or equal to 54°F and less than or equal to 78°F.

Thus, the inequality is:

$54 \leq T \leq 78$ Where $T$ represents the temperature.

Translation into interval notation:

The interval for this temperature range is a closed interval since both endpoints (54°F and 78°F) are included:

$[54, 78]$

Would you like more details or have any questions?

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Here are 5 related questions to deepen your understanding:

1. What would be the inequality if temperatures were strictly between 54°F and 78°F (excluding 54°F and 78°F)?
2. How would the inequality change if the temperatures were at least 54°F but less than 78°F?
3. What is the interval notation for temperatures higher than 78°F?
4. If the temperature is always above 54°F but below 78°F, how does that affect the inequality and interval notation?
5. How would you represent a situation where the temperature is exactly 78°F?

Tip: When translating between inequalities and interval notation, remember that brackets $[ ]$ indicate that endpoints are included, while parentheses $( )$ indicate that they are excluded.