Understanding Inequalities

This video tutorial covers solving inequalities using addition, subtraction, multiplication, and division. It explains the importance of rewriting inequalities for easier graphing and highlights when to flip inequality signs. The tutorial includes examples and practice problems to reinforce learning.

What is the first step in solving the inequality 5 + X > -2?

• Multiply both sides by 5

• Subtract 5 from both sides

• Add 5 to both sides

• Divide both sides by 5

When graphing the solution to X > -7, what type of circle is used on the number line?

• Closed circle on 7

• Open circle on -7

• Closed circle on -7

• Open circle on 7

In the inequality 6 ≥ R, how should it be rewritten for easier graphing?

• R = 6

• 6 ≤ R

• R ≤ 6

• R ≥ 6

What happens to the inequality symbol when you multiply or divide both sides by a positive number?

• It flips direction

• It stays the same

• It becomes an equal sign

• It is removed

If you multiply both sides of an inequality by a negative number, what must you do to the inequality symbol?

• Remove it

• Keep it the same

• Flip it to the opposite direction

• Change it to an equal sign

In the inequality -1 ≤ -X/5, what operation is needed to solve for X?

• Multiply both sides by 5

• Divide both sides by -5

• Add 5 to both sides

• Multiply both sides by -5

When solving -2X < -12, what is the correct solution for X?

• X > -6

• X < -6

• X > 6

• X < 6

Which of the following requires flipping the inequality sign?

• Multiplying both sides by 3

• Dividing both sides by -2

• Subtracting 4 from both sides

• Adding 5 to both sides

If you divide both sides of an inequality by a negative number, what must you do?

• Remove the inequality symbol

• Change the inequality to an equal sign

• Flip the inequality symbol

• Keep the inequality symbol the same

What is the solution to the inequality 32 ≤ X when rewritten with X on the left?

• X ≤ 32

• X ≥ 32

• X < 32

• X > 32