Mastering Multi-Step Inequalities

This video tutorial from Friendly Math 101 covers solving multi-step inequalities. It begins by explaining the differences between equations and inequalities, highlighting that inequalities have multiple solutions. The tutorial provides two examples: the first demonstrates solving a multi-step inequality by distributing and combining like terms, while the second example involves solving an inequality with negative coefficients, emphasizing the need to switch the inequality symbol. The lesson concludes with an invitation for viewers to ask questions and subscribe for more tutorials.

What is the main difference between solving equations and inequalities?

• Equations and inequalities both have multiple solutions.

• Equations have one solution, while inequalities have multiple solutions.

• Equations have multiple solutions, while inequalities have one solution.

• Equations and inequalities both have one solution.

In the first example, what is the result after distributing and combining like terms on the left side?

• 15x - 10

• 15x - 4

• 15x - 14

• 15x - 24

What is the final solution for X in the first example?

• X is less than or equal to 7

• X is greater than or equal to 7

• X is equal to 7

• X is not equal to 7

How is the solution for X represented on a number line in the first example?

• Open circle over 7 with an arrow to the right

• Closed circle over 7 with an arrow to the left

• Closed circle over 7 with an arrow to the right

• Open circle over 7 with an arrow to the left

What does a closed circle on a number line indicate?

• The number is not included in the solution

• The number is included in the solution

• The number is a boundary but not included

• The number is a boundary and included

In the second example, what is the result after distributing and combining like terms?

• 6 - 32M

• 6 - 30M

• 6 - 34M

• 6 - 28M

What is the final solution for M in the second example?

• M is greater than 5

• M is equal to 5

• M is less than 5

• M is not equal to 5

What must you do to the inequality symbol when you divide both sides by a negative number?

• Remove it

• Change it to an equal sign

• Switch it to the opposite direction

• Keep it the same

How is the solution for M represented on a number line in the second example?

• Open circle over 5 with an arrow to the left

• Closed circle over 5 with an arrow to the right

• Closed circle over 5 with an arrow to the left

• Open circle over 5 with an arrow to the right

What does an open circle on a number line indicate?

• The number is a boundary but not included

• The number is included in the solution

• The number is a boundary and included

• The number is not included in the solution