Linear Inequality Word Problems

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 write a linear inequality from a word problem?

Back

Identify the quantities involved, assign variables, express the relationship using an inequality based on the problem's conditions.

Front

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

Back

It means 'less than' and indicates that the value on the left is smaller than the value on the right.

Front

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

Back

It means 'greater than' and indicates that the value on the left is larger than the value on the right.

Front

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

Back

It means 'less than or equal to' and indicates that the value on the left is either smaller than or equal to the value on the right.

Front

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

Back

It means 'greater than or equal to' and indicates that the value on the left is either larger than or equal to the value on the right.

Front

How do you solve a linear inequality?

Back

Isolate the variable on one side of the inequality using inverse operations, while maintaining the direction of the inequality.

Front

What is the solution set of a linear inequality?

Back

The solution set is the range of values that satisfy the inequality, often represented on a number line.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater or less than another.

Front

How can you graph a linear inequality?

Back

Graph the corresponding linear equation as a boundary line, then shade the region that satisfies the inequality.