The time a cake must bake is between 25 minutes and 30 minutes, inclusive.
A. 25 < x < 30
B. 25 <= x <= 30
C. 25 <= x >= 30
D. 25 < x > 30
B. 25 <= x <= 30
The correct answer is B. 25 <= x <= 30.
The inclusive symbol (<= or >=) is used when a value can be equal to the given limit, and the range of values lies between those limits. In this case, the cake must bake for at least 25 minutes (25 <= x) and no more than 30 minutes (x <= 30), hence the correct option is 25 <= x <= 30.
The correct option is B. 25 <= x <= 30.
To determine the correct answer, let's break down the given information. The time a cake must bake is between 25 minutes and 30 minutes, inclusive.
The symbol "<" stands for "less than," and the symbol ">" stands for "greater than." The symbols "<=" and ">=" include the possibility of being equal to the number.
Now, let's analyze the options:
A. 25 < x < 30: This option indicates that the baking time is greater than 25 minutes but less than 30 minutes. However, the given information includes the possibility of the baking time being exactly 30 minutes, so this option is incorrect.
B. 25 <= x <= 30: This option indicates that the baking time is greater than or equal to 25 minutes and less than or equal to 30 minutes. This matches the given information, making it the correct answer.
C. 25 <= x >= 30: This option is incorrect because it uses the incorrect symbol between the numbers. It should be 25 <= x <= 30.
D. 25 < x > 30: This option uses the incorrect symbols and implies that the baking time is both greater and less than 30, which is not possible. Therefore, this option is incorrect.
In conclusion, the correct answer is B. 25 <= x <= 30.