Solving an absolute value inequality by rewriting as a compound inequality

The video tutorial explains how to solve absolute value inequalities by setting up two cases, isolating the variable, solving the inequality, and graphing the solutions on a number line. It emphasizes the importance of flipping the inequality sign when dealing with negative values and provides a step-by-step guide to solving and graphing the solutions.

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

• Set up two cases for the inequality

• Graph the inequality on a number line

• Add a constant to both sides

• Multiply both sides by the reciprocal

When dealing with the negative case of an absolute value inequality, what must you remember to do?

• Add the same number to both sides

• Flip the inequality sign

• Multiply by the reciprocal

• Subtract the same number from both sides

How do you eliminate a fraction when solving an inequality?

• Divide by the fraction

• Add the fraction to both sides

• Subtract the fraction from both sides

• Multiply by the reciprocal of the fraction

What does an open circle on a number line represent when graphing an inequality?

• The value is included in the solution

• The value is not included in the solution

• The inequality is equal

• The inequality is undefined

In which direction do you shade the number line for the inequality y > 42?

• Do not shade

• Both directions from 42

• To the right of 42

• To the left of 42