Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using 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 a closed circle mean when graphing an inequality?

Back

A closed circle indicates that the number is included in the solution set.

Front

What does an open circle mean when graphing an inequality?

Back

An open circle indicates that the number is not included in the solution set.

Front

How do you solve the inequality -4 - 6m > -9m + 8?

Back

Combine like terms to get m > 4.

Front

What is the solution to the inequality -5(w - 4) < -5w - 15?

Back

There are no solutions to this inequality.

Front

What is the first step in solving the inequality 4h < 8?

Back

Divide both sides by 4 to isolate h, resulting in h < 2.

Front

What does it mean if an inequality has no solutions?

Back

It means there are no values that satisfy the inequality.

Front

How do you graph the inequality h < 2?

Back

Draw a number line, place an open circle at 2, and shade to the left.