Alonzo is planting a rectangular garden in his backyard. He wants the length of the garden to be 5 yards. The area of the garden must be at most 50 square yards. (Alonzo doesn't want to buy any more soil.) Write an inequality that describes the possible widths (in yards) of the garden. Use $$ w $$ for the width of the rectangular garden.

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To determine the possible widths $$ w $$ of Alonzo's rectangular garden, we can set up an inequality based on the given information.

1. **Area of the Rectangle:**
   The area $$ A $$ of a rectangle is calculated by multiplying its length $$ L $$ by its width $$ W $$:
   $$
   A = L \times W
   $$

2. **Given Values:**
   - Length $$ L = 5 $$ yards
   - Desired maximum area $$ A \leq 50 $$ square yards

3. **Set Up the Inequality:**
   Plugging in the known values:
   $$
   5 \times w \leq 50
   $$
   Simplifying:
   $$
   5w \leq 50
   $$

4. **Solve for $$ w $$:**
   To find the maximum possible width:
   $$
   w \leq \frac{50}{5}
   $$
   $$
   w \leq 10
   $$

**Final Inequality:**
$$
5w \leq 50
$$
or equivalently,
$$
w \leq 10
$$

This inequality indicates that the width $$ w $$ of the garden must be at most 10 yards to ensure the area does not exceed 50 square yards.
The width $$ w $$ of the garden must be at most 10 yards.

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