Understanding One-Step Subtraction Inequalities

In this video, Mr. J explains how to solve and graph one-step subtraction inequalities. The process involves isolating the variable using inverse operations, similar to solving equations. Two examples are provided: solving g - 7 ≤ 2 and -15 > y - 11. Each example includes a detailed solution and graphing on a number line. The video concludes with a summary of the key steps and concepts.

What is the first step in solving a one-step subtraction inequality?

• Add the same number to both sides

• Divide both sides by the same number

• Subtract the same number from both sides

• Multiply both sides by the same number

In the inequality g - 7 ≤ 2, what operation is used to isolate g?

• Division

• Addition

• Multiplication

• Subtraction

What does a filled circle on a number line represent when graphing inequalities?

• The number is not included

• The number is not a solution

• The number is included

• The number is a solution

How do you verify if a value is a solution to an inequality?

• By rewriting the inequality

• By using a calculator

• By substituting the value into the inequality

• By graphing the inequality

In the inequality -15 > y - 11, what is the inverse operation used to isolate y?

• Subtraction

• Multiplication

• Division

• Addition

What is the correct way to rewrite the inequality y < -4?

• -4 < y

• y = -4

• y > -4

• -4 > y

What does an open circle on a number line indicate when graphing inequalities?

• The number is a solution

• The number is not a solution

• The number is not included

• The number is included

Which of the following values is a solution for the inequality y < -4?

• 0

• -5

• -4

• -3

What is the purpose of graphing an inequality on a number line?

• To find the exact solution

• To simplify the inequality

• To visualize all possible solutions

• To check the correctness of the solution

What is the key takeaway from solving one-step subtraction inequalities?

• Graphing is unnecessary

• Solutions are always positive

• Inverse operations are crucial

• Always use multiplication