Exploring Multi-Step Inequalities in Algebra 1

The video tutorial covers solving multi-step inequalities, demonstrating various techniques such as distribution, combining like terms, and graphing solutions. It includes examples where solutions are specific values, all real numbers, or no solution. The tutorial emphasizes the importance of checking solutions and graphing inequalities on a number line.

What is the first step in solving the inequality -5n + 6 ≥ -7(5n - 6) - 6?

• Combine like terms on the left side

• Distribute the -7 on the right side

• Add 6 to both sides

• Subtract 6 from both sides

After distributing and combining like terms, what is the resulting inequality for -5n + 6 ≥ -7(5n - 6) - 6?

• 41n ≥ 42

• n ≤ 1

• n ≥ 1

• 36n ≥ 36

What is the solution to the inequality 3(P - 3) - 5P > -3P - 6?

• P < 3

• P > 3

• P ≤ 3

• P ≥ 3

What is the first step in solving the inequality 28 - K ≥ 7(K - 4)?

• Distribute the 7 on the right side

• Subtract 28 from both sides

• Combine like terms on the left side

• Add K to both sides

What is the resulting inequality after distributing and combining like terms for 28 - K ≥ 7(K - 4)?

• 56 ≤ 8K

• K ≥ 7

• K ≤ 7

• 56 ≥ 8K

What is the first step in solving the inequality 28 - 7x ≤ -4 - 7x - 7?

• Add 7x to both sides

• Distribute the -4 on the right side

• Combine like terms on the left side

• Subtract 28 from both sides

What is the solution to the inequality 28 - 7x ≤ -4 - 7x - 7?

• x ≥ 0

• x ≤ 0

• x < 0

• x > 0

What is the first step in solving the inequality -2(5 + 6n) < 6(8 - 2n)?

• Combine like terms on the left side

• Distribute the -2 on the left side

• Add 6n to both sides

• Subtract 5 from both sides

What is the resulting inequality after distributing and combining like terms for -2(5 + 6n) < 6(8 - 2n)?

• 5 + 6n < -24 - 6n

• 5 + 6n > -24 + 6n

• 5 + 6n < -24 + 6n

• 5 + 6n > -24 - 6n

What is the solution to the inequality -2(5 + 6n) < 6(8 - 2n)?

• All real numbers

• No solution

• n > 0

• n < 0