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

Tags

CCSS.6.EE.B.8

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

Tags

CCSS.6.EE.B.8

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

• R = 6

• 6 ≤ R

• R ≤ 6

• R ≥ 6

Tags

CCSS.6.EE.B.8

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

Tags

CCSS.6.EE.B.8

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

Tags

CCSS.6.EE.B.8

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

Tags

CCSS.6.EE.B.8

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

• X > -6

• X < -6

• X > 6

• X < 6

Tags

CCSS.6.EE.B.8

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

Tags

CCSS.6.EE.B.8

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

Tags

CCSS.6.EE.B.8

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

• X ≤ 32

• X ≥ 32

• X < 32

• X > 32

Tags

CCSS.6.EE.B.8