How to solve and graph an absolute value inequality by converting to a compound inequality

The video tutorial explains how to solve and graph absolute value inequalities. It begins by discussing the importance of identifying whether the inequality is an 'and' or 'or' compound inequality. The tutorial then demonstrates solving the inequalities by creating two cases and solving them step-by-step. It also covers graphing the solutions, including plotting points and shading the appropriate regions. The video concludes with testing points to verify the solution and ensure the graph is accurate.

What type of compound inequality is formed when the absolute value is greater than the other expression?

• An 'and' compound inequality

• An 'or' compound inequality

• A 'but' compound inequality

• A 'not' compound inequality

When solving an absolute value inequality, what must you remember to do when you negate a side?

• Divide both sides by 2

• Multiply both sides by -1

• Flip the inequality symbol

• Add a constant to both sides

What is the solution for the inequality X - 11 ≥ 1?

• X ≥ 12

• X ≤ 12

• X ≥ 10

• X ≤ 10

When graphing the solution of an absolute value inequality, what is the purpose of choosing a test point?

• To calculate the slope of the line

• To find the maximum value

• To verify the direction of shading

• To determine the midpoint of the graph

In the context of graphing inequalities, what does shading to the right indicate?

• The solution is a single point

• The solution includes values greater than the test point

• The solution includes values less than the test point

• The solution is invalid