Solving One Step Linear Inequalities with Variable on Right

The video tutorial explains how to solve and graph inequalities with the variable on the right side. It covers two examples, demonstrating how to isolate the variable, reverse the inequality for easier graphing, and express the solution using interval notation. The tutorial emphasizes understanding the direction of the inequality symbol and the use of open and closed points on the graph.

What is the first step in solving an inequality where the variable is on the right side?

• Subtract from both sides

• Add to both sides

• Isolate the variable

• None of the above

What operation is used to isolate the variable in the first inequality example?

• Addition

• Subtraction

• Multiplication

• Division

Why might one reverse the order of an inequality?

• To make it easier to graph

• To confuse the solution

• To make it look better

• None of the above

What symbol is used at -5 on the graph for the first inequality?

• Open point

• Closed point

• Arrow

• None

What does the interval notation (-∞, -5) signify in the context of the first inequality?

• Includes -5 and extends to negative infinity

• Includes -5 and extends to positive infinity

• Does not include -5 and extends to negative infinity

• None of the above

What operation is used to isolate the variable in the second inequality example?

• Division

• Addition

• Subtraction

• Multiplication

What does the inequality symbol pointing toward the 5 signify?

• X is not equal to 5

• X is equal to 5

• X is greater than 5

• X is less than 5

What symbol is used at 5 on the graph for the second inequality?

• Arrow

• Open point

• Closed point

• None

What does the interval notation [5, ∞) signify in the context of the second inequality?

• None of the above

• Does not include 5 and extends to positive infinity

• Includes 5 and extends to negative infinity

• Includes 5 and extends to positive infinity

What is the purpose of reversing the order of an inequality?

• To simplify the graphing process

• None of the above

• To change the meaning of the inequality

• To complicate the solution