Inequalities Practice

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 the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is any number greater than 3.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 5 means x is any number less than 5.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is any number greater than or equal to 2.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is any number less than or equal to 4.

Front

How do you solve the inequality -3y + 2 > 11?

Back

Subtract 2 from both sides: -3y > 9. Then divide by -3 (remember to flip the inequality): y < -3.

Front

What happens to the inequality symbol when you multiply or divide by a negative number?

Back

When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality symbol.

Front

Solve the inequality 2 - 3x ≤ 20.

Back

Subtract 2 from both sides: -3x ≤ 18. Then divide by -3 (flip the inequality): x ≥ -6.

Front

What does it mean to graph an inequality with a closed dot?

Back

A closed dot indicates that the number is included in the solution set, used for symbols ≤ and ≥.

Front

What does it mean to graph an inequality with an open dot?

Back

An open dot indicates that the number is not included in the solution set, used for symbols < and >.