Inequalities and Graph Representations

This video tutorial covers sixth-grade math concepts from chapter eight, lesson ten. It begins with an introduction to graphing inequalities, explaining the use of open and closed circles to represent different conditions. The tutorial provides examples of graphing inequalities and writing inequalities from graphs. It also includes solving equations and writing expressions from given problems. The lesson concludes with a summary of chapter eight and a brief introduction to chapter nine.

What does an open circle on a graph indicate?

• The value is greater than the solution.

• The value is included in the solution.

• The value is less than the solution.

• The value is not included in the solution.

How do you represent 'x is less than -4/5' on a graph?

• With a filled circle at -4/5

• With an open circle at -4/5

• With a filled circle at 4/5

• With an open circle at 4/5

How do you represent 'y is greater than -2' on a graph?

• With a filled circle at -2

• With an open circle at -2

• With a filled circle at 2

• With an open circle at 2

How do you represent 'y is greater than -2' on a graph?

• With a filled circle at 2

• With a filled circle at -2

• With an open circle at -2

• With an open circle at 2

What does a filled circle on a graph indicate?

• The value is included in the solution.

• The value is not included in the solution.

• The value is greater than the solution.

• The value is less than the solution.

If 'm is less than or equal to 3', how is it represented on a graph?

• With a filled circle at -3

• With an open circle at -3

• With a filled circle at 3

• With an open circle at 3

How do you write an inequality from a graph showing x is greater than 3?

• x ≥ 3

• x ≤ 3

• x < 3

• x > 3

If x is greater than -5, how is it represented on a graph?

• With an open circle at 5

• With a filled circle at 5

• With an open circle at -5

• With a filled circle at -5

How do you write an inequality for a graph showing x is less than 3?

• x ≥ 3

• x ≤ 3

• x > 3

• x < 3

If x is greater than -5, how is it represented on a graph?

• With a filled circle at -5

• With an open circle at -5

• With a filled circle at 5

• With an open circle at 5