Solving Multi-Step Inequalities

The video tutorial covers multi-step inequalities, emphasizing the importance of knowing when to flip the inequality sign when multiplying or dividing by a negative number. It explains the process of solving inequalities, including graphing them on a number line and handling variables on both sides of the equation. The tutorial also provides practice problems and discusses special solutions, encouraging students to ask questions in class if they encounter difficulties.

What is the key difference between solving multi-step inequalities and multi-step equations?

• The order of operations

• The need to flip the sign when multiplying or dividing by a negative

• The type of numbers involved

• The use of parentheses

When solving the inequality -2x > 4, what should you do after dividing both sides by -2?

• Multiply both sides by 2

• Add 2 to both sides

• Subtract 2 from both sides

• Flip the inequality sign

How should you represent the inequality x < 10 on a number line?

• With a closed circle at 10 and shading to the right

• With an open circle at 10 and shading to the left

• With a closed circle at 10 and shading to the left

• With an open circle at 10 and shading to the right

What type of circle should be used to graph the inequality c ≤ -3?

• Half-open circle

• No circle

• Open circle

• Closed circle

When solving an inequality with variables on both sides, what is the first step?

• Add the same number to both sides

• Multiply both sides by a negative number

• Isolate the variable on one side

• Flip the inequality sign

If you have the inequality -3 ≤ V, how can you rewrite it to make it easier to graph?

• V > -3

• V ≤ -3

• V < -3

• V ≥ -3

What should you do if you encounter a typo in a problem?

• Ask the teacher for clarification

• Ignore the typo

• Guess the correct answer

• Skip the problem

Why is it important to show your work when solving inequalities?

• To make it easier to graph

• To avoid mistakes

• To get partial credit

• To ensure full credit and understanding

What should you do if you don't understand a concept covered in the video?

• Ask the teacher in class

• Look it up online

• Skip the concept

• Ask a classmate

What is the next topic to be covered in class after this video?

• Inverse operations

• Special solutions and word problems

• Graphing inequalities

• Multi-step equations