To model the salad dressing recipe's requirements, let's summarize the information given:
- The total volume of the salad dressing (oil, vinegar, and lemon juice combined) should not exceed 16 ounces.
- There must be at least 6 ounces of oil in the dressing.
Let:
- \( x \) = ounces of vinegar
- \( y \) = ounces of lemon juice
- The amount of oil = 6 ounces
Since we are using a total of 16 ounces for the container, the combined volume of the oil, vinegar, and lemon juice can be represented as follows:
\[ 6 + x + y \leq 16 \]
Subtracting 6 from both sides, we can rewrite this inequality as:
\[ x + y \leq 10 \]
Now, since there are no restrictions on how much vinegar and lemon juice can be used individually (except for their combined total), we also have the conditions that both \( x \) and \( y \) should be non-negative:
\[ x \geq 0 \] \[ y \geq 0 \]
Putting it all together, the inequalities that model this situation are:
- \( x + y \leq 10 \)
- \( x \geq 0 \)
- \( y \geq 0 \)
These inequalities appropriately represent the constraints of the salad dressing recipe involving oil, vinegar, and lemon juice.