Exploring Two-Step Inequalities

The video tutorial covers solving two-step inequalities, focusing on the example 3x - 8 < 13. It explains the process of isolating the variable, using inverse operations, and graphing the solution. The tutorial also discusses the importance of order of operations and the use of open and closed circles in graphing. The instructor encourages students to try additional examples on their own.

What is the primary goal when solving inequalities?

• To find the value of the inequality symbol

• To make both sides equal

• To eliminate all numbers

• To get the variable by itself

In the inequality 3x - 8 < 13, which numbers need to be moved to isolate x?

• 3 and 8

• 8 and 13

• 3 and 13

• Only 8

What is the correct order of operations when solving equations?

• Division, Multiplication, Subtraction, Addition

• Subtraction, Addition, Division, Multiplication

• Multiplication, Division, Addition, Subtraction

• Addition, Subtraction, Multiplication, Division

When solving inequalities, in which order should operations be reversed?

• SADMEP

• PEMDAS

• ASMPED

• DMASPE

What is the first step to solve the inequality 3x - 8 < 13?

• Multiply by 3

• Divide by 3

• Add 8

• Subtract 8

How do you handle a negative number when solving inequalities?

• Always subtract a positive number

• Always add a positive number

• Use the same number but the opposite operation

• Ignore the negative sign

What does an open circle on a number line represent?

• The number is the largest possible value

• The number is not included in the solution

• The number is included in the solution

• The number is the only solution

If the inequality was less than or equal to, how would the graph change?

• The circle would be open

• The number line would be reversed

• The circle would be closed

• The arrow would point in the opposite direction

What should you do if you make a mistake while solving an inequality?

• Erase it and start over

• Ask someone else to solve it

• Ignore it and move on

• Check your work and correct it

Why is it important to use a pencil when solving inequalities?

• To make your work look neat

• So you can erase mistakes

• To write faster

• Because pens are not allowed