Easily Solve an Absolute Value Equation With a Fraction

The video tutorial explains how to solve absolute value inequalities by breaking them into two cases: one with a positive number and one with a negative number inside the absolute value. It demonstrates solving these inequalities using fractions and an alternative method without fractions. The tutorial emphasizes understanding transformations and verifying solutions.

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

• Add a constant to both sides

• Multiply by the reciprocal

• Combine like terms

• Break it into two cases

How can you eliminate a fraction when solving an inequality?

• Subtract the fraction from both sides

• Divide by the fraction

• Multiply by the reciprocal

• Add the fraction to both sides

What is the result of multiplying a number by its reciprocal?

• The reciprocal

• Zero

• The number itself

• One

What should you multiply by to eliminate multiple fractions in an equation?

• The greatest common denominator

• The smallest fraction

• The sum of the fractions

• The largest fraction

What is the absolute value of -10?

• 10

• 0

• 20

• -10