Solving Inequalities and Their Properties

This video tutorial covers the process of simplifying inequalities through various examples. It begins with basic inequalities and progresses to more complex ones involving fractions. The tutorial emphasizes identifying like terms, moving terms across the inequality sign, and changing signs appropriately. It also includes practice questions for students to apply what they've learned.

What is the first step in simplifying the inequality X + 2 < 7?

• Add 2 to both sides

• Subtract 2 from both sides

• Move 2 to the other side and change its sign

• Multiply both sides by 2

In the inequality Y - 5 > 10, what happens to the -5 when it is moved to the other side?

• It becomes -10

• It becomes +5

• It becomes 0

• It stays the same

How do you determine the sign of a number when moving it across an inequality?

• Check the number on the right side

• Check the number on the left side

• Check the sign of the number being moved

• Check the sign of the inequality

What is the result of solving 5 + W > 15?

• W > 10

• W < 10

• W = 10

• W > 15

In the inequality 2X + 3 < 13, what is the next step after moving 3?

• Add 3 to both sides

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 3 from both sides

What is the solution to the inequality 4 + 5T > 39?

• T > 39

• T = 7

• T < 7

• T > 7

In the inequality 40 < 9Z - 5, what is the first step?

• Multiply both sides by 5

• Move -5 to the other side and change its sign

• Subtract 5 from both sides

• Add 5 to both sides

How do you solve the inequality 2/9M + 8 < 10?

• Divide both sides by 9

• Subtract 8 from both sides

• Multiply both sides by 9

• Add 8 to both sides

What is the reciprocal of 2/9 used for in solving inequalities?

• To add to both sides

• To subtract from both sides

• To multiply both sides

• To divide both sides

In the inequality 15 > 5 + 1/2W, what is the first step?

• Add 5 to both sides

• Multiply both sides by 5

• Subtract 5 from both sides

• Move 5 to the other side and change its sign