A farmer is putting a fence around his flower garden. He can use no more than 80ft of fencing. He wants the width to be at least 5ft and the length to be at least 20ft. How do I solve this inequality?

To solve this problem, let's start by defining the variables in our equation. Let 'x' represent the width of the garden and 'y' represent the length of the garden.

Based on the given information, we have the following constraints:
- The width (x) should be at least 5ft: x ≥ 5
- The length (y) should be at least 20ft: y ≥ 20
- The total length of the fence should not exceed 80ft: 2x + 2y ≤ 80 (The formula for the perimeter is 2x + 2y)

Now, let's solve the inequality step by step:

1. Start with the equation for the total length of the fence:
2x + 2y ≤ 80

2. Rearrange the equation to isolate one of the variables:
2y ≤ 80 - 2x

3. Divide both sides of the inequality by 2 to isolate 'y':
y ≤ 40 - x

4. Now, let's combine the inequalities for 'x' and 'y':
x ≥ 5
y ≥ 20

Combining the equations, we get:
5 ≤ x ≤ 40 - y

This means that 'x' can take any value from 5 or greater, and 'y' can take any value from 20 or greater. Therefore, the solution to this inequality is a range of possible values for 'x' and 'y' that satisfy the given conditions.