Solving and Graphing Inequalities using Multiplication & Division| Math Defined with Mrs C|7 EE B 4

This video tutorial covers solving one-step inequalities using multiplication and division. It includes graphing solutions and applying these concepts to real-world problems. The tutorial emphasizes the importance of flipping the inequality sign when multiplying or dividing by a negative number and provides multiple examples to illustrate these principles. The video also highlights the benefits of rewriting inequalities with the variable on the left side for easier graphing.

What is the solution for W in the inequality W/5 ≤ -3?

• W ≥ -15

• W < -15

• W ≤ -15

• W > -15

When solving -16 > y/2, what is the correct graph representation?

• Open circle at -32, shading right

• Closed circle at -32, shading left

• Closed circle at -32, shading right

• Open circle at -32, shading left

In the inequality 7X ≥ -49, what is the value of X?

• X < -7

• X > -7

• X ≤ -7

• X ≥ -7

What happens to the inequality sign when you divide both sides by a negative number?

• It stays the same

• It flips direction

• It becomes a greater than sign

• It becomes an equal sign

For the inequality -3H < -14, what is the solution for H?

• H ≤ 4 2/3

• H < 4 2/3

• H > 4 2/3

• H ≥ 4 2/3

In the inequality N/-2 > 13, what is the correct solution for N?

• N ≤ -26

• N > -26

• N ≥ -26

• N < -26

How do you solve the inequality -1/3P ≥ 8?

• Divide by 3 and keep the inequality

• Divide by -3 and flip the inequality

• Multiply by -3 and flip the inequality

• Multiply by 3 and keep the inequality

What is the maximum number of boxes you can stack in a 12.5 feet high container if each box is 2.25 feet high?

• 4 boxes

• 5 boxes

• 6 boxes

• 7 boxes

What is the first step in solving a real-world inequality problem involving different units?

• Solve the inequality directly

• Graph the inequality

• Convert all measurements to the same unit

• Check the solution

What is a key step to remember when solving inequalities?

• All of the above

• Always check your work

• Always graph the solution

• Always isolate the variable