A man wants to cut three lengths from a single piece of board of length 91cm The second length is to be 3 cm longer than the shortest and the third length is to be twice as long as the shortest. What are the possible lengths of the shortest board if the third piece is to be at least 5cm longer than the second?

Explanation

To solve the problem step by step, we will define the lengths of the pieces of board and set up the inequalities based on the conditions given.

### Step 1: Define the lengths
Let \( x \) be the length of the shortest piece of board. According to the problem:
- The second length is \( x + 3 \) (3 cm longer than the shortest).
- The third length is \( 2x \) (twice as long as the shortest).

### Step 2: Set up the total length inequality
...