Understanding Inequalities and Operations

The video tutorial explains how to perform various operations on inequalities, starting with the inequality x < 8. It covers adding, subtracting, multiplying, and dividing by both negative and positive numbers, emphasizing the need to reverse the inequality symbol when multiplying or dividing by a negative number. The tutorial provides step-by-step instructions for each operation, ensuring a clear understanding of how to maintain a true inequality statement.

What is the initial inequality given in the construction web?

• x ≥ 8

• x < 8

• x = 8

• x > 8

What operation is performed first on the inequality x < 8?

• Dividing by positive five

• Subtracting positive two

• Multiplying by negative two

• Adding negative two

When multiplying or dividing both sides of an inequality by a negative number, what must be done to the inequality symbol?

• Reverse it

• Keep it the same

• Subtract a negative number

• Add a positive number

What is the result of multiplying both sides of the inequality x < 8 by negative two?

• x > -16

• x < -16

• x ≥ -16

• x = -16

What is the equivalent expression for x plus negative two?

• x + 2

• x - 2

• x * 2

• x / 2

What is the result of subtracting negative two from both sides of the inequality x < 8?

• x + 2 < 6

• x - 2 < 6

• x - 2 < 10

• x + 2 < 10

What operation is performed after introducing positive five?

• Adding negative two

• Multiplying by negative two

• Dividing by negative two

• Subtracting positive five

What is the result of multiplying the inequality x - 2 < 6 by positive five?

• 5(x + 2) > 30

• 5(x + 2) < 30

• 5(x - 2) > 30

• 5(x - 2) < 30

What is the result of dividing the inequality x + 2 < 10 by positive five?

• (x - 2)/5 > 2

• (x - 2)/5 < 2

• (x + 2)/5 > 2

• (x + 2)/5 < 2

What is the final result of adding positive five to the inequality -1/2 x > -4?

• -1/2 x + 5 < 1

• -1/2 x + 5 = 1

• -1/2 x + 5 ≥ 1

• -1/2 x + 5 > 1