Practice: 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 the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is less than or equal to 2.

Front

When do you flip the inequality symbol?

Back

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

Front

How do you graph the inequality x > 2 on a number line?

Back

Draw an open circle at 2 and shade to the right to indicate all numbers greater than 2.

Front

How do you graph the inequality x ≤ 3 on a number line?

Back

Draw a closed circle at 3 and shade to the left to indicate all numbers less than or equal to 3.

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities using 'and' or 'or'. For example, 1 < x < 5 is a compound inequality.

Front

What does 'and' mean in a compound inequality?

Back

In a compound inequality, 'and' means both conditions must be true. For example, x > 1 and x < 5 means x is between 1 and 5.