Linear Inequality Word Problems

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

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

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

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

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.

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.

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

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

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

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