Graphing Linear Inequalites

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

What does the symbol '>' represent?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' represent?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' represent?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' represent?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a dashed or solid line, then shade the appropriate region based on the inequality.

Front

What is the difference between a dashed line and a solid line in graphing inequalities?

Back

A dashed line indicates that the points on the line are not included in the solution (for < or >), while a solid line indicates that the points on the line are included (for ≤ or ≥).

Front

When graphing the inequality 3x ≥ 12, what is the first step?

Back

The first step is to solve for x, which gives x ≥ 4.

Front

What is the solution set for the inequality x < 5?

Back

The solution set includes all numbers less than 5.

Front

If you multiply or divide both sides of an inequality by a negative number, what happens to the inequality sign?

Back

The inequality sign must be flipped.