How to solve and graph an absolute value inequality with OR

The video tutorial explains how to handle absolute value inequalities. It starts with isolating the absolute value symbol and then creating two cases for the inequality. The process involves negating one side and flipping the inequality sign. The tutorial also covers solving these inequalities and graphing the solutions, emphasizing the importance of understanding conjunctions and disjunctions in inequalities.

What is the first step in solving an absolute value inequality?

• Isolate the absolute value symbol

• Graph the inequality

• Add a constant to both sides

• Multiply both sides by a negative number

When creating two cases from an absolute value inequality, what must you remember to do when negating?

• Divide by a positive number

• Multiply by zero

• Flip the inequality sign

• Add a constant to both sides

What does flipping the sign in an inequality represent?

• Dividing by a positive number

• Multiplying by zero

• Changing the direction of the inequality

• Adding a constant

How do you determine the conjunction (AND/OR) when solving absolute value inequalities?

• By checking if the inequality is strict

• By the type of inequality symbol used

• By the number of solutions

• By the size of the numbers involved

In the context of graphing solutions, what does a solid closed point on the number line indicate?

• The solution is not included

• The solution is greater than the point

• The solution is approximate

• The solution is exact and included