Solving Multi-Step Inequalities Challenge

The video tutorial covers solving multi-step inequalities, starting with an introduction and moving through the steps of distributing, combining like terms, solving for the variable, and graphing the solution. It includes examples with and without parentheses, practice problems, and concludes with a final example and assignment instructions.

What is the first step in solving multi-step inequalities?

• Subtract constants

• Graph the solution

• Distribute

• Combine like terms

In the first example, what do you get when you combine -6n and 2n?

• 6n

• -8n

• 4n

• -4n

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

• It stays the same

• It flips

• It disappears

• It becomes an equal sign

In the second example, what is the result of distributing 2 to (x + 4)?

• 2x + 2

• x + 8

• 2x + 4

• 2x + 8

When combining like terms, what do you get when you add 3 and 8?

• 5

• 15

• 10

• 11

In the third example, what is the result of combining 5n and 1n?

• 4n

• 6n

• 5n

• 7n

What is the final solution for n in the third example?

• n < 11

• n ≥ 11

• n ≤ 11

• n > 11

In the fourth example, what is the result of distributing -2 to (4x + 1)?

• -4x + 2

• -8x + 2

• -4x - 2

• -8x - 2

What is the final solution for x in the fourth example?

• x < -1

• x > -1

• x ≥ -1

• x ≤ -1

What should you do if you have parentheses in a multi-step inequality?

• Combine like terms first

• Distribute first

• Subtract constants first

• Graph the solution first