Solving and graphing an absolute value inequality

The video tutorial explains how to solve absolute value inequalities by first isolating the absolute value, then creating compound inequalities. It covers the concept of absolute value as the distance from zero and demonstrates how to solve and graph these inequalities, emphasizing the importance of understanding the intersection of solutions.

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

• Graph the inequality

• Multiply both sides by a negative number

• Isolate the absolute value

• Add a constant to both sides

What does the absolute value of a number represent?

• The number itself

• The negative of the number

• The square of the number

• The distance from zero

When solving absolute value inequalities, what must you do after isolating the absolute value?

• Multiply by a negative number

• Add a constant to both sides

• Graph the solution

• Create two cases

What is the key difference between solving an inequality and an equation?

• Equations have no solutions

• Inequalities require flipping the sign when multiplying or dividing by a negative

• Inequalities are always greater than zero

• Equations require graphing

How do you determine the solution set for an 'and' compound inequality?

• By solving each inequality separately

• By finding the union of the solutions

• By finding the intersection of the solutions

• By graphing only one inequality

What type of circle is used on a graph for 'less than or equal to' inequalities?

• Open circle

• Closed circle

• No circle

• Dashed circle

When graphing the solution to W ≥ -11, which direction should you shade?

• Both directions

• No shading is needed

• To the left

• To the right