Understanding Inequalities

The video tutorial explains how to construct an inequality starting with a variable. It breaks down the process into steps: dividing the variable by 5, subtracting 4 from the result, multiplying the difference by -6, and finally comparing the product to 2. Each step is detailed to help understand the transformation of the variable into the inequality expression.

What is the initial inequality given in the problem?

• Negative six times x divided by five minus four is greater than or equal to two

• Negative six times x divided by five plus four is less than or equal to two

• Negative six times x plus five minus four is less than or equal to two

• Negative six times x divided by five minus four is less than or equal to two

What is the first operation performed on the variable x?

• It is multiplied by five

• It is added to five

• It is divided by five

• It is subtracted from five

What does the fraction bar in the expression represent?

• Addition

• Division

• Subtraction

• Multiplication

After dividing x by five, what is the next step?

• Add four to the quotient

• Multiply the quotient by four

• Subtract four from the quotient

• Divide the quotient by four

What operation is performed after obtaining the difference in step two?

• It is subtracted from negative six

• It is divided by negative six

• It is multiplied by negative six

• It is added to negative six

What is the result of multiplying the difference by negative six?

• The constant term of the inequality

• The middle term of the inequality

• The entire right side of the inequality

• The entire left side of the inequality

What does the negative sign in front of six indicate in the multiplication step?

• The result will be zero

• The result will be negative

• The result will be positive

• The result will be unchanged

What is the final comparison made in the inequality?

• The product is less than two

• The product is less than or equal to two

• The product is equal to two

• The product is greater than two

What is the purpose of the final step in the inequality process?

• To add a constant to the result

• To compare the result to a constant

• To divide the result by a constant

• To multiply the result by a constant