Inequalities and Test Values

The video tutorial explains solving equations by setting factors to zero and using the number line method. It demonstrates testing values to determine sign configurations and how to write the final answer. The tutorial emphasizes the importance of not including certain values in the solution when they do not satisfy the inequality.

What is the first step in solving the equation by factoring?

• Divide all factors by zero

• Add all factors together

• Multiply all factors together

• Set each factor equal to zero

What values of X make the equation equal to zero?

• X = 2 and -2

• X = 1 and -3

• X = -1 and 3

• X = 0 and 2

What method is introduced in this section to solve the equation?

• Graphical method

• Number line method

• Algebraic method

• Matrix method

In the number line method, how are test values chosen?

• From largest to smallest

• From smallest to largest

• Only positive numbers

• Randomly

Why are test values circled and placed below the number line?

• To indicate they are incorrect

• To avoid using them in the final answer

• To highlight them

• To make calculations easier

What is the result of testing the value -2 in the equation?

• Positive

• Negative

• Undefined

• Zero

What is the result of testing the value 0 in the equation?

• Positive

• Negative

• Zero

• Undefined

What is the result of testing the value 4 in the equation?

• Positive

• Negative

• Zero

• Undefined

What happens when you multiply two positive numbers?

• The result is positive

• The result is zero

• The result is negative

• The result is undefined

What happens when you multiply a positive and a negative number?

• The result is undefined

• The result is zero

• The result is negative

• The result is positive