Writing Linear Inequalities

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

You identify the variables involved, determine the coefficients based on the context, and express the relationship using an inequality symbol.

Front

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

Back

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

Front

What does the symbol '<' represent in a linear inequality?

Back

The symbol '<' means 'less than', indicating that the value on the left is smaller than the value on the right.

Front

What does the symbol '>' represent in a linear inequality?

Back

The symbol '>' means 'greater than', indicating that the value on the left is larger than the value on the right.

Front

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

Back

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

Front

In the context of the catering company problem, what do 's' and 'l' represent?

Back

In the catering company problem, 's' represents the number of small tables and 'l' represents the number of large tables.

Front

How do you determine the coefficients in a linear inequality?

Back

Coefficients are determined by the number of people each type of table can seat, which is 4 for small tables and 6 for large tables in the catering problem.

Front

What is the first step in writing a linear inequality for a word problem?

Back

The first step is to identify the variables that represent the quantities involved in the situation.

Front

What is the significance of the inequality symbol in a linear inequality?

Back

The inequality symbol indicates the relationship between the expressions on either side, showing whether one side is greater than, less than, or equal to the other.