Solving Inequalities with Variables on Both Sides

This video tutorial covers solving inequalities with variables on both sides. It begins with an introduction and agenda, followed by four detailed examples. Each example demonstrates the steps to solve inequalities, including handling constants and fractions. The tutorial emphasizes the importance of flipping the inequality when necessary and provides tips for graphing solutions on a number line.

What is the main goal of the lesson?

• To solve equations with variables on one side

• To solve equations with fractions

• To solve inequalities with constants

• To solve inequalities with variables on both sides

What should you do if there are no parentheses in the inequality?

• Skip the distributive property step

• Move variables to one side

• Combine like terms

• Use the distributive property

When should you flip the inequality sign?

• When adding a constant

• When combining like terms

• When subtracting a variable

• When multiplying or dividing by a negative number

In the first example, what is the result of dividing 16 by 4?

• 4

• 3

• 2

• 5

What does an open dot on a number line represent?

• The number is included

• The inequality is flipped

• The inequality is not flipped

• The number is excluded

In the second example, what is the result of subtracting 18 from 0?

• 18

• 0

• -18

• -36

How do you handle fractions in inequalities?

• Convert them to decimals

• Ignore them

• Make a common denominator

• Multiply by the reciprocal

What is the common denominator used in the third example?

• 2

• 3

• 4

• 5

In the fourth example, what is the result of multiplying 10 by 3?

• 30

• 13

• 40

• 33

What is the final answer in the fourth example?

• x is greater than or equal to 6

• x is greater than 6

• x is less than 6

• x is less than or equal to 6