Learn how to solve a multi step inequality and graph the solution

The video tutorial demonstrates how to solve and graph a linear inequality. It begins with simplifying the inequality using the distributive property, then progresses to solving a two-step inequality. The tutorial emphasizes the importance of switching the inequality sign when dividing by a negative number. Finally, it shows how to graph the solution on a number line and verify the solution by testing points.

What is the first step in simplifying a linear inequality?

• Apply the distributive property

• Graph the inequality

• Add a constant to both sides

• Multiply both sides by a negative number

When solving an inequality, what must you remember to do when dividing by a negative number?

• Add the same number to both sides

• Switch the inequality sign

• Multiply both sides by a positive number

• Subtract the same number from both sides

What does it mean if a point on the number line is filled in when graphing an inequality?

• The point is part of the solution

• The inequality has no solution

• The inequality is strict

• The point is not part of the solution

Which of the following points would be shaded on the number line for the inequality x ≥ 2?

• x = 1

• x = -1

• x = 0

• x = 3

Why is it important to test points when graphing the solution of an inequality?

• To ensure the graph is colorful

• To verify the solution is correct

• To find the midpoint of the graph

• To make the graph symmetrical