Exploring Writing and Graphing Inequalities

This video tutorial introduces students to writing and interpreting inequalities. It covers solving one-step inequalities using inverse operations and explains the meanings of different inequality symbols. The tutorial also demonstrates how to graph inequalities on a number line, using examples to illustrate the process. Students will learn to interpret inequality statements and identify numbers that satisfy these inequalities.

Which property is used when subtracting the same number from both sides of an inequality?

• Multiplication property of equality

• Addition property of equality

• Division property of equality

• Subtraction property of equality

If an inequality states 'b + 9 < 15', what is the solution for 'b'?

• b < 24

• b < 6

• b > 6

• b = 6

What does an open circle on a number line indicate in the context of inequalities?

• The number is not included in the solution set.

• The inequality is only true for numbers greater than the circled number.

• The number is included in the solution set.

• The inequality is only true for numbers less than the circled number.

In the context of graphing inequalities, what does a closed circle on a number line represent?

• The number is included in the solution set.

• The number is not included in the solution set.

• The inequality is only true for numbers less than the circled number.

• The inequality is only true for numbers greater than the circled number.

What does a filled circle on a number line typically indicate in inequality graphing?

• The number is conditionally included in the solution set.

• The number is definitely not included in the solution set.

• The number is definitely included in the solution set.

• The number is possibly included in the solution set.

What does the phrase 'at least' imply in the context of inequalities?

• The variable is greater than or equal to a number.

• The variable is less than a number.

• The variable is less than or equal to a number.

• The variable is exactly equal to a number.

What is the correct graphical representation for the inequality 'x > 5'?

• Open circle on 5, arrow pointing left.

• Closed circle on 5, arrow pointing right.

• Open circle on 5, arrow pointing right.

• Closed circle on 5, arrow pointing left.

If 'Vanessa has at most $5', how would you represent this inequality on a number line?

• Closed circle on 5, arrow pointing left.

• Closed circle on 5, arrow pointing right.

• Open circle on 5, arrow pointing right.

• Open circle on 5, arrow pointing left.

What does the inequality 't > 5' imply about the number 5?

• 5 is the only solution.

• 5 is the maximum value for t.

• 5 is not included in the solution set.

• 5 is included in the solution set.

Which of the following is a correct interpretation of the inequality 'L < 5'?

• L is at least 5.

• L is less than 5.

• L is exactly 5.

• L is no more than 5.