Understanding One-Step Division Inequalities

In this video, Mr. J explains how to solve one-step division inequalities. The process involves isolating the variable using inverse operations, similar to solving equations. A key point is flipping the inequality symbol when multiplying or dividing both sides by a negative number. Two examples are provided: solving D/10 > 6 and x/-7 ≤ 3. The video also explains why the inequality symbol flips when dealing with negative numbers, ensuring the inequality remains true. The video concludes with a reminder to check solutions and the importance of flipping the inequality symbol.

What is the primary goal when solving one-step division inequalities?

• To find the value of the variable

• To isolate the variable using inverse operations

• To multiply both sides by a positive number

• To add the same number to both sides

In the inequality D / 10 > 6, what operation is used to isolate D?

• Subtraction

• Addition

• Division

• Multiplication

After solving D / 10 > 6, which of the following is a correct solution?

• D = 80

• D = 50

• D = 70

• D = 60

When solving x / -7 ≤ 3, why must the inequality symbol be flipped?

• Because we are adding a negative number

• Because we are subtracting a positive number

• Because we are dividing by a positive number

• Because we are multiplying by a negative number

What is the solution to the inequality x / -7 ≤ 3 after flipping the inequality symbol?

• x ≥ 21

• x < 21

• x > 21

• x ≤ 21

Why does multiplying both sides of an inequality by a negative number require flipping the inequality symbol?

• It changes the direction of the inequality

• It makes the inequality invalid

• It simplifies the inequality

• It has no effect on the inequality

In the example 2 < 5, what happens when both sides are multiplied by -2?

• The inequality becomes -4 < -10

• The inequality becomes -4 > -10

• The inequality becomes 4 < 10

• The inequality remains the same

What is the result of multiplying both sides of the inequality 2 < 5 by 2?

• 4 ≤ 10

• 4 > 10

• 4 = 10

• 4 < 10

What should you do if you forget to flip the inequality symbol when required?

• Add a positive number to both sides

• Ignore the mistake

• Check a solution to catch the mistake

• Re-solve the inequality

What is the key takeaway from solving one-step division inequalities?

• Always flip the inequality symbol when multiplying or dividing by a negative

• Never check your solutions

• Never multiply by a negative number

• Always add a positive number to both sides