Solving an absolute value inequality by isolating the absolute value

The video tutorial explains how to solve and graph absolute value inequalities. It begins by isolating the absolute value expression and then creating two cases to form a compound inequality. The tutorial demonstrates solving each case separately and graphing the solution, focusing on the intersection of the graphs. The video concludes with a summary of the process.

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

• Add a constant to both sides

• Multiply both sides by a constant

• Isolate the absolute value expression

• Graph the inequality

When forming two cases for an absolute value inequality, what must be done to the inequality sign in the negative case?

• Keep it the same

• Flip the sign

• Add a constant

• Multiply by -1

What type of inequality is formed when dealing with an absolute value less than a number?

• Or inequality

• And inequality

• Simple inequality

• Complex inequality

What is the decimal equivalent of -7/2?

• -3.7

• -3.5

• -3.9

• -3.2

In graphing compound inequalities, what is the significance of the intersection of the graphs?

• It indicates the solution set

• It highlights the maximum value

• It shows the union of solutions

• It represents the midpoint