Question

Write an inequality that models the calculation of area for all areas smaller than 300ft² and solve the inequality in context.

A) Area < 300 ft²; Solution: The area must be less than 300 square feet for all smaller areas.
B) Area ≤ 300 ft²; Solution: The area is less than or equal to 300 square feet for all smaller areas.
C) Area > 300 ft²; Solution: The area is greater than 300 square feet for all larger areas.
D) Area ≥ 300 ft²; Solution: The area must be greater than or equal to 300 square feet for all larger areas.

Answer 1

The correct inequality for areas smaller than 300 ft² is 'Area < 300 ft²', which means the area must be less than 300 square feet.

Step-by-step explanation:

The inequality that models the calculation of area for all areas smaller than 300 ft² is Area < 300 ft². To solve this inequality in context, it means that the measurement of the area must be less than 300 square feet to be considered smaller. As an example, if trying to determine whether a room is smaller than a given size, one would compare its area to the 300 ft² threshold using this inequality.