Linear Inequality Test pt 4

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (such as <, >, ≤, or ≥).

Front

How do you represent a situation with a linear inequality?

Back

Identify the variables, the relationship between them, and the constraints. Write an inequality that reflects these conditions.

Front

What does the symbol '≤' mean in a linear inequality?

Back

The symbol '≤' means 'less than or equal to', indicating that the value on the left can be less than or equal to the value on the right.

Front

What does the symbol '≥' mean in a linear inequality?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value on the left can be greater than or equal to the value on the right.

Front

How do you graph a linear inequality?

Back

1. Graph the corresponding linear equation as a solid line (for ≤ or ≥) or dashed line (for < or >). 2. Shade the region that satisfies the inequality.

Front

What is the significance of the flat rate in a taxi fare problem?

Back

The flat rate is a fixed charge that must be included in the total cost, affecting how much can be spent on additional charges (like per mile rates).

Front

In the context of saving money, what does 'at least' imply in an inequality?

Back

'At least' implies a minimum requirement, represented by a '≥' symbol in the inequality.

Front

What is the purpose of defining constraints in a linear inequality problem?

Back

Constraints define the limits within which the variables must operate, ensuring realistic and feasible solutions.

Front

How do you determine the maximum or minimum values in a linear inequality problem?

Back

By analyzing the inequalities and identifying the feasible region, you can find the maximum or minimum values of the objective function.

Front

What does it mean to have a system of inequalities?

Back

A system of inequalities consists of two or more inequalities that share the same variables and must be satisfied simultaneously.