Solving and graphing a two step absolute value inequality

The video tutorial explains how to solve absolute value inequalities and graph the solutions. It begins with setting up the inequality, then demonstrates solving it by considering two cases. The tutorial emphasizes the importance of changing the inequality sign when multiplying or dividing by a negative number. After solving, the video shows how to graph the solutions on a number line, highlighting the use of open circles for strict inequalities. The tutorial concludes with interpreting the graph to understand the solution set.

What must you remember to do when you multiply or divide both sides of an inequality by a negative number?

• Keep the inequality sign the same

• Subtract the same number from both sides

• Add the same number to both sides

• Change the direction of the inequality sign

When solving the inequality 3X - 4 > 10, what is the first step?

• Multiply both sides by 3

• Subtract 4 from both sides

• Add 4 to both sides

• Divide both sides by 3

What is the solution for the inequality 3X < -6?

• X > -2

• X < -2

• X = -2

• X = 2

How do you represent a strict inequality on a number line?

• With a dashed line

• With a shaded line

• With an open circle

• With a closed circle

Which of the following values satisfies the inequality X > 4.66?

• 5

• 4.66

• 4.5

• 4