Understanding Inequality Construction

The video tutorial explains how to construct an inequality starting with a variable. It breaks down the process into steps: first, multiplying the variable by negative two-thirds, then subtracting three from the product, and finally, establishing that the result is greater than six. The tutorial aims to clarify each step in the construction process of the inequality.

What is the initial term focused on in the inequality?

• Positive two-thirds x

• Negative three x

• Negative two-thirds x

• Positive three x

What operation is performed on x in the first step of constructing the inequality?

• Addition by two-thirds

• Multiplication by negative two-thirds

• Subtraction by two-thirds

• Division by negative two-thirds

What does the term negative two-thirds x represent?

• x times negative two-thirds

• x plus negative two-thirds

• x divided by negative two-thirds

• x minus negative two-thirds

In the second step, what happens to the product of negative two-thirds and x?

• It is increased by 3

• It is divided by 3

• It is decreased by 3

• It is multiplied by 3

What is the result of the second step in the inequality construction?

• The product is divided by 3

• The product is multiplied by 3

• The product is decreased by 3

• The product is increased by 3

What is the final comparison made in the inequality?

• The result is equal to six

• The result is not equal to six

• The result is greater than six

• The result is less than six

What does the final step in the inequality construction involve?

• Comparing the result to be greater than six

• Subtracting six from the result

• Adding six to the result

• Multiplying the result by six

What is the overall process described in the video?

• Simplifying an expression

• Graphing a function

• Solving an equation

• Constructing an inequality