Solving Inequalities

The video tutorial explains inequalities, which are mathematical sentences with inequality symbols instead of equal signs. It covers the rules for solving inequalities, including operations that require reversing the inequality sign. The tutorial provides examples of solving both simple and complex inequalities, emphasizing the importance of isolating the variable and applying the correct operations. Viewers are encouraged to practice solving inequalities on their own.

Which of the following operations requires you to reverse the inequality sign?

• Multiplying both sides by a negative number

• Adding a positive number to both sides

• Subtracting a positive number from both sides

• Dividing both sides by a positive number

In the inequality 8x - 4 > 10 + 6 * 3, what is the first step to simplify the right side?

• Subtract 10 from both sides

• Multiply 6 by 3

• Add 4 to both sides

• Divide both sides by 8

After simplifying the inequality 8x - 4 > 28, what is the next step?

• Divide both sides by 8

• Multiply both sides by 8

• Add 4 to both sides

• Subtract 4 from both sides

In the inequality -2x + 14 > 4x - 2 + 2x, what should you do first?

• Add 2x to both sides

• Combine like terms on the right side

• Divide both sides by -2

• Subtract 14 from both sides

When solving -8x > -16, what must you remember to do after dividing both sides by -8?

• Subtract 8 from both sides

• Multiply both sides by 8

• Reverse the inequality sign

• Add 8 to both sides