Learning to solve and graph an absolute value inequality with a rational quantity

The video tutorial explains how to solve and graph absolute value inequalities. It begins by isolating the absolute value expression, then setting up two cases based on the inequality type. The instructor demonstrates how to eliminate fractions and solve the inequalities, followed by graphing the solution on a number line. The lesson concludes with identifying the intersection of the solutions as the final answer.

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

• Multiply both sides by a constant

• Graph the inequality

• Isolate the absolute value

• Add a constant to both sides

When isolating the absolute value, what operation should be performed after addition and subtraction?

• Multiplication

• Division

• Subtraction

• Exponentiation

How do you handle the inequality when the absolute value is isolated?

• Multiply by the reciprocal

• Graph the inequality immediately

• Add the same number to both sides

• Create two cases and solve separately

What should be done to eliminate fractions in an inequality?

• Add a constant to both sides

• Multiply both sides by the denominator

• Subtract the numerator from both sides

• Divide both sides by the numerator

What is the final step in solving and graphing absolute value inequalities?

• Identify the union of the inequalities

• Find the intersection of the inequalities

• Multiply by a constant

• Subtract a constant from both sides