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 solving inequalities, 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 < 3 on a number line?

Back

Draw a number line, place an open circle on 3, and shade to the left to indicate all numbers less than 3.

Front

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

Back

Draw a number line, place a closed circle on -2, and shade to the right to indicate all numbers greater than or equal to -2.

Front

What is a compound inequality?

Back

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

Front

What does the solution to the compound inequality x < 2 or x > 5 look like on a number line?

Back

On a number line, you would have an open circle at 2 and 5, shading to the left of 2 and to the right of 5.