Chapter 3.6, Problem 2P

Write a compound inequality that represents each phrase. Graph the solutions.

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

To determine

To write: and write the compound inequality that represents the given phrase.

Explanation of Solution

Given information:

The given statement is

“The time a cake must buy between $25$ minutes and $30$ minutes inclusive”.

Calculation:

Let the time is x.

x is between $25$ and $30$ . So $25<x<30$

inclusive means includes the boundary points.

Hence, the compound inequality of given phrase is $25\le x\le 30$

Graph:

The graph of $25\le x\le 30$ is shown below.

  

In above graph shaded line is the solution of the inequality.

Closed circle indicates including the point.