The inequality 70◦ < x < 80◦ represents the range of the ideal water temperature, in degrees Fahrenheit, for Sammy’s fish.
Which statement is true about the situation?
A. The ideal water temperature is less than
70 ◦F.
B. The ideal water temperature is greater than
80 ◦F.
C. The ideal water temperature is between
70 ◦F and 80 ◦F.
D. The ideal water temperature is less than 70 ◦F
or greater than 80 ◦F.
The ideal water temp. is greater than 70 and less than 80.
The correct answer is C. The ideal water temperature is between 70◦F and 80◦F.
The inequality 70◦ < x < 80◦ means that the value of x, which represents the water temperature in degrees Fahrenheit, must be greater than 70◦F and less than 80◦F. In other words, the ideal water temperature falls within this range.
To determine the range indicated by the inequality, you need to understand how to interpret the inequality signs. The symbol "<" indicates "less than," so 70◦ is less than the value of x. The symbol ">" indicates "greater than," so the value of x is less than 80◦. Combining these symbols with "and" in between means that x must be both greater than 70◦ and less than 80◦, forming the range of 70◦ < x < 80◦.
Therefore, the ideal water temperature for Sammy's fish is between 70◦F and 80◦F, making statement C the correct answer.
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