Understanding Inequalities and Their Graphs

The video reintroduces inequalities to seventh graders, explaining inequality symbols and how to graph them on a number line. It covers checking solutions by substituting values and provides examples for practice. The lesson aims to help students understand what makes an inequality true and how to represent it graphically.

What is the main focus of the lesson on inequalities?

• Learning to solve equations

• Understanding the history of inequalities

• Understanding what makes an inequality true

• Exploring the use of variables in equations

Which symbol represents 'greater than or equal to'?

• ><

• <>

• >=

• <=

How is 'X is greater than two' represented on a number line?

• A shaded line including 2

• A shaded line to the left of 2

• A shaded line to the right of 2

• A shaded circle at 2

What is the difference between 'X is greater than two' and 'X is greater than or equal to two' on a graph?

• There is no difference

• The line is shorter for 'greater than or equal to'

• The line is longer for 'greater than or equal to'

• The circle at 2 is shaded for 'greater than or equal to'

How is 'X is less than two' represented on a number line?

• A shaded line including 2

• A shaded circle at 2

• A shaded line to the left of 2

• A shaded line to the right of 2

What does shading the circle at the boundary point indicate?

• The boundary point is included

• The inequality is true

• The boundary point is not included

• The inequality is false

What is the most direct way to check if a value is a solution to an inequality?

• Graphing the inequality

• Substituting the value into the inequality

• Guessing the solution

• Using a calculator

If X = 1, is it a solution for the inequality 5 - X > 2?

• Yes, because 5 - 1 = 4, which is greater than 2

• No, because 5 - 1 = 3, which is not greater than 2

• Yes, because 5 - 1 = 3, which is greater than 2

• No, because 5 - 1 = 4, which is not greater than 2

If X = 4, is it a solution for the inequality 5 - X > 2?

• Yes, because 5 - 4 = 1, which is greater than 2

• No, because 5 - 4 = 1, which is not greater than 2

• Yes, because 5 - 4 = 2, which is greater than 2

• No, because 5 - 4 = 2, which is not greater than 2

If X = -5, is it a solution for the inequality 5 - X > 2?

• Yes, because 5 - (-5) = 10, which is greater than 2

• No, because 5 - (-5) = 0, which is not greater than 2

• Yes, because 5 - (-5) = 0, which is greater than 2

• No, because 5 - (-5) = 10, which is not greater than 2