Solving and Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

What does it mean to solve an inequality?

Back

Solving an inequality involves finding the values of the variable that make the inequality true.

Front

When solving the inequality -3x + 2 ≤ 22, do you flip the inequality symbol?

Back

Yes, you flip the inequality symbol when you multiply or divide both sides by a negative number.

Front

What type of circle is used when graphing the inequality x > 5?

Back

An open circle is used when graphing the inequality x > 5.

Front

What type of circle is used when graphing the inequality x ≤ 5?

Back

A closed circle is used when graphing the inequality x ≤ 5.

Front

What is the solution set of the inequality 8y < -40?

Back

The solution set is y < -5.

Front

How do you graph the inequality y ≥ 2x - 2?

Back

You graph the line y = 2x - 2 with a solid line and shade above the line.

Front

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

Back

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

Front

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

Back

The symbol '>' means 'greater than'.

Front

When graphing the inequality y < 3, where do you shade?

Back

You shade below the line y = 3.