The time a cake must bake is between 25 minutes and 30 minutes, inclusive.

25 < x < 30

The correct response is: 25 < x < 30

The correct response is: 25 < x < 30

To understand why this is the correct answer, let's break down the given information:

"The time a cake must bake is between 25 minutes and 30 minutes, inclusive."

This means that the baking time for the cake can be any value between 25 minutes and 30 minutes, including both 25 and 30.

In mathematical notation, the symbol "<" represents "less than" and the symbol ">" represents "greater than". To represent an inclusive range, we use the "<" symbol followed by an "x" (representing the baking time), then "<" symbol again, indicating that "x" is less than 30. This can be written as 25 < x < 30.

So, the correct response is 25 < x < 30.

Solve. 5 < x – 2 < 11

(1 point)
Responses

5 < x < 11
5 < x < 11

7 < x < 13
7 < x < 13

7 < x < 11
7 < x < 11

5 < x < 16
5 < x < 16
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To solve the inequality 5 < x - 2 < 11, we can break it down into two separate inequalities:

First inequality:
5 < x - 2

Adding 2 to both sides:
7 < x

Second inequality:
x - 2 < 11

Adding 2 to both sides:
x < 13

Combining the two inequalities, we have the solution:
7 < x < 13

Therefore, the correct response is 7 < x < 13.