How Do You Solve an Absolute Value Equation when Equal to a Negative Number

The video tutorial explains how to solve an absolute value equation. It highlights that absolute values are always positive, making it impossible for an absolute value to equal a negative number. Therefore, the given equation has no solution.

What is the initial step in solving an absolute value equation?

• Convert the equation to a linear form

• Identify if the equation is quadratic

• Check if the absolute value is negative

• Simplify the equation by removing constants

Why is the absolute value of a number always positive?

• Because it represents the number itself

• Because it is a mathematical rule

• Because it is always greater than zero

• Because it measures the distance from zero

Which of the following is an example of an absolute value?

• The absolute value of 3 is 0

• The absolute value of -3 is 3

• The absolute value of 3 is -3

• The absolute value of -3 is -3

What conclusion can be drawn about the equation |Y| = -5?

• It has two solutions

• It has infinite solutions

• It has a unique solution

• It has no solution

What is the main reason the equation |Y| = -5 has no solution?

• Because the equation is not quadratic

• Because absolute values cannot be negative

• Because the equation is not linear

• Because Y is not defined