An online furniture store sells chairs and tables. Each day, the store can ship no more than 32 pieces of furniture. Write an inequality that could represent the possible values for the number of tables sold, tt, and the number of chairs sold, cc, that would satisfy the constraint.


To represent the constraint that the total number of chairs (denoted by \( c \)) and tables (denoted by \( t \)) sold in a day cannot exceed 32, we can write the inequality:

\[
c + t \leq 32
\]

This inequality shows that the sum of the number of chairs and tables sold must be less than or equal to 32.

Would you like more details on this, or do you have any specific questions?

Here are five related questions to explore this further:
1. What if the store has a minimum number of chairs and tables it must sell each day?
2. How would the inequality change if the maximum number of furniture pieces was 40 instead of 32?
3. How could you solve the inequality if the store sold 20 chairs on a given day?
4. How would you graph this inequality on a coordinate plane?
5. What happens if there is a limit on the number of chairs or tables separately?

**Tip:** When solving inequalities, always consider whether you need to adjust your solutions for "less than" or "greater than" based on the scenario (e.g., physical limitations like shipping).

An online furniture store sells chairs and tables. Each day, the store can ship no more than 32 pieces of furniture. Write an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.

Understand how to create an inequality representing the number of chairs (c) and tables (t) an online furniture store can sell when restricted to a maximum of 32 pieces of furniture per day. Explore related mathematical concepts like linear inequalities and how to solve and graph such problems. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation