Exploring MultiStep Inequalities

This video tutorial covers solving multi-step inequalities, starting with a review of two-step inequalities. It explains the use of the distributive property in equations and inequalities, combining like terms, and solving multi-step inequalities with various examples. The tutorial emphasizes the importance of changing the inequality sign when multiplying or dividing by a negative number and provides step-by-step guidance on graphing solutions.

What is the first step in solving the inequality -17n - 9 > 59?

• Divide both sides by -17

• Add 9 to both sides

• Subtract 9 from both sides

• Multiply both sides by -17

When solving an inequality, when do you need to change the direction of the inequality sign?

• When multiplying or dividing by a positive number

• When multiplying or dividing by a negative number

• When subtracting a positive number

• When adding a positive number

In the distributive property, what operation is performed between the number outside the parentheses and each term inside the parentheses?

• Subtraction

• Addition

• Multiplication

• Division

What is the result of distributing 3 to the expression (4 - x)?

• 3 * 4 + x

• 3 - 4 * x

• 3 * 4 - 3 * x

• 3 + 4 - x

When combining like terms, what should you do with the signs in front of the terms?

• Subtract them

• Circle them to keep track

• Add them together

• Ignore them

Why don't we combine terms from both sides of an inequality directly?

• Because it changes the inequality

• Because it makes the equation more complex

• Because we need to perform inverse operations

• Because it is not allowed in mathematics

What is the first step in solving the inequality -4n - 15 + 6n ≤ -29?

• Subtract 6n from both sides

• Combine like terms

• Add 15 to both sides

• Divide by -4

In the expression 4(8 - 2n), what is the result of distributing 4?

• 4 + 8 - 2n

• 4 * 8 - 4 * 2n

• 4 * 8 + 2n

• 4 - 8 * 2n

When solving the inequality -5n ≤ 55, what should you do after dividing by -5?

• Switch the inequality sign

• Subtract 5 from both sides

• Multiply by 5

• Add 5 to both sides

What is the solution to the inequality -5n ≤ 55?

• n ≤ -11

• n ≥ -11

• n ≥ 11

• n ≤ 11