Samuel is remodeling his basement. One part of the planning involves the flooring. He
knows that he would like both carpet and hardwood but isn't sure how much of each he will
use. The most amount of flooring area he can cover is 2000 square feet. The carpet is $4.50
per square foot, and the hardwood is $8.25 per square foot. Both prices include labor costs.
Samuel has budgeted $10,000 for the flooring.
Write a system of inequalities to represent the maximum amount of flooring needed and
the maximum amount of money Samuel wants to spend.

A system of inequality to represent the maximum amount of flooring needed is c + h ≥ 2000.A system of inequality to represent the maximum amount of money wants to spend is 4.50c + 8.25h ≥ 10,000.How to write and solve this inequality?In order to solve this word problem, we would assign variables to the number of square feet of carpet and the number of square feet of hardwood for the given flooring area, and then translate the word problem into an algebraic inequality as follows:Let the variable c represent the number of square feet of carpet.Let the variable h represent the number of square feet of hardwood.For the maximum amount of flooring needed, we have:c + h ≥ 2000For the maximum amount of money, we have:4.50c + 8.25h ≥ 10,000.Read more on inequality here: brainly.com/question/12996324#SPJ1