Solving Multi-Step Inequalities

Front

What is a multi-step inequality?

Back

A multi-step inequality is an inequality that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, or division.

Front

How do you solve the inequality x - 14 < -8?

Back

To solve x - 14 < -8, add 14 to both sides: x < 6.

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.

Front

What is the solution to the inequality n > -2.5?

Back

The solution indicates that n can be any number greater than -2.5.

Front

How do you represent the solution of an inequality on a number line?

Back

You represent the solution by drawing a number line and using an open circle for non-inclusive endpoints and a closed circle for inclusive endpoints.

Front

What is the graph of the inequality k < 3?

Back

The graph of k < 3 is a number line with an open circle at 3 and shading to the left.

Front

What happens to the inequality sign when you divide by a negative number?

Back

The inequality sign flips when you divide both sides of an inequality by a negative number.

Front

What is the solution to the inequality a > 6?

Back

The solution indicates that a can be any number greater than 6.

Front

How do you check if your solution to an inequality is correct?

Back

You can check your solution by substituting a value from the solution set back into the original inequality to see if it holds true.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the endpoint, while non-strict inequalities (≤, ≥) do include the endpoint.