Final answer:
To express the perimeter P being less than 16 feet as an inequality for a rectangle, we can use P < 16. Assuming 'x' is the length or width, without loss of generality, the inequality becomes 4x < 16, which simplifies to x < 4. Therefore, 'x' must be less than 4 feet.
Step-by-step explanation:
The question involves writing and solving an inequality that represents the values of x, in feet, where the perimeter is less than 16 feet. We'll assume that this is for a rectangle to provide a specific example, although the type of shape was not defined in the question.
For a rectangle, the perimeter (P) is given by the formula P = 2l + 2w, where l is the length and w is the width. The inequality to represent the perimeter being less than 16 feet is:
P < 16
Let x represent either the length or the width. Assuming we don't know the other dimension, the inequality can be:
2x + 2(x) < 16
Which simplifies to:
4x < 16
Dividing both sides by 4 to isolate x, we get:
x < 4
Hence, x must be less than 4 feet to satisfy the condition that the perimeter is less than 16 feet for a rectangle.