System of Linear Inequalities Word Problems Part 1

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 (>, <, ≥, ≤). It represents a region of solutions on a graph.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left side of the inequality is larger than the value on the right side.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. It indicates that the value on the left side of the inequality is smaller than the value on the right side.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left side is either larger than or equal to the value on the right side.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left side is either smaller than or equal to the value on the right side.

Front

How do you represent a situation where a total cost must be less than a certain amount?

Back

Front

What is the standard form of a linear inequality?

Back

Front

How do you convert a word problem into a linear inequality?

Back

Identify the quantities involved, determine the relationship between them, and express the conditions using inequality symbols.

Front

In the context of a word problem, what does 'at least' indicate?

Back

The phrase 'at least' indicates a minimum value and is represented by a 'greater than or equal to' (≥) inequality.

Front

In the context of a word problem, what does 'no more than' indicate?

Back

The phrase 'no more than' indicates a maximum value and is represented by a 'less than or equal to' (≤) inequality.