Solving and Checking Inequalities

This video tutorial explains how to solve inequalities involving multiplication and division. It provides two examples: solving 4y ≤ 36 and k/5 > 12. The tutorial emphasizes isolating the variable, using opposite operations, and verifying the solution by checking the inequality symbol. It also highlights the importance of maintaining balance by performing operations on both sides of the inequality.

What is the first step in solving inequalities involving multiplication or division?

• Subtract a constant from both sides

• Multiply both sides by zero

• Isolate the variable

• Add a constant to both sides

In the inequality 4y ≤ 36, what operation is used to isolate y?

• Addition

• Division

• Subtraction

• Multiplication

What is the solution to the inequality 4y ≤ 36?

• y ≥ 9

• y < 9

• y > 9

• y ≤ 9

Why is it important to check the inequality symbol after solving?

• To ensure the variable is isolated

• To verify the solution is correct

• To confirm the equation is balanced

• To simplify the expression

What number is used to check the solution for y in the inequality 4y ≤ 36?

• 10

• 8

• 12

• 6

In the inequality k/5 > 12, what operation is used to isolate k?

• Multiplication

• Addition

• Division

• Subtraction

What is the solution to the inequality k/5 > 12?

• k < 60

• k > 60

• k ≤ 60

• k ≥ 60

What number is used to check the solution for k in the inequality k/5 > 12?

• 70

• 30

• 50

• 100