Systems of Inequalities

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities that share the same variables. The solution is the set of all points that satisfy all inequalities in the system.

Front

How do you represent a maximum capacity constraint in a system of inequalities?

Back

Front

Back

It represents the condition that the total revenue from selling x adult tickets at $7.50 and y children's tickets at $5.50 must be at least $2000.

Front

Back

It indicates that the total number of adult and children's tickets sold cannot exceed the theater's seating capacity of 300.

Front

How do you determine the number of items needed to meet a financial goal using inequalities?

Back

You can set up an inequality that combines the initial amount of money and the revenue from selling items to find the minimum number of items needed.

Front

Back

It represents the condition that the total money raised from selling p pies at $5 each, plus the initial $75, must be at least $386.

Front

Back

It indicates that the values of y are greater than 3, which means the solution set includes all points above the line y = 3.

Front

How do you write a system of equations for a ticket sales problem?

Back

Front

What does the point (-1, -3) represent in the context of a solution set?

Back

The point (-1, -3) is not part of the solution set, meaning it does not satisfy the inequalities defined in the system.

Front

What is the purpose of graphing a system of inequalities?

Back

Graphing a system of inequalities helps visualize the solution set, which is the region where all inequalities overlap.