Graphing and Writing Inequalities in 6th Grade

This video tutorial covers the basics of graphing and writing inequalities for sixth-grade students. It begins with an introduction to key vocabulary, such as inequality, algebraic inequality, and compound inequality. The tutorial then explains how to graph inequalities on a number line, using examples to illustrate open and closed circles based on inequality signs. It also covers compound inequalities and how to graph them. Finally, the video provides steps for writing inequalities from graphs, emphasizing the importance of understanding inequality signs and solution sets.

What is an inequality?

• A statement that involves only variables.

• A statement that two quantities are not equal.

• A statement that involves only numbers.

• A statement that two quantities are equal.

Which symbol represents 'less than or equal to'?

• <

• >

• <=

• >=

How do you represent that a number is not included in the solution set on a number line?

• With a closed circle.

• With an open circle.

• With a square.

• With a filled-in circle.

If 's' is greater than or equal to -1, how would you represent this on a number line?

• Closed circle at -1, arrow to the left.

• Open circle at -1, arrow to the right.

• Closed circle at -1, arrow to the right.

• Open circle at -1, arrow to the left.

What does a compound inequality involve?

• Only one inequality.

• Two or more inequalities.

• Only equalities.

• Only variables.

How do you graph the inequality '3 > y'?

• Open circle at 3, arrow to the right.

• Closed circle at 3, arrow to the left.

• Closed circle at 3, arrow to the right.

• Open circle at 3, arrow to the left.

What is the first step in writing an inequality from a graph?

• Write down the number.

• Write down the variable.

• Draw the number line.

• Determine the direction of the arrow.

If a graph shows an open circle at -3 with an arrow pointing left, what is the inequality?

• x < -3

• x >= -3

• x > -3

• x <= -3

How do you indicate a compound inequality with 'and'?

• With no arrows.

• With a single arrow.

• With overlapping arrows.

• With arrows pointing in the same direction.

What does the overlap of arrows in a compound inequality represent?

• The solution set.

• The number line.

• The variable.

• The inequality sign.