Graphing and Writing Inequalities on a Number Line

This video tutorial by Mr. J provides an introduction to inequalities on a number line. It covers how to graph inequalities, offering a visual representation of solutions, and how to write inequalities from a number line. The tutorial includes examples to illustrate the concepts, such as using filled and open circles to indicate whether a number is included in the solution set. The video aims to enhance understanding of inequalities and their representation on number lines.

What does a filled circle on a number line represent?

• The number is positive

• The number is negative

• The number is included

• The number is not included

If X is greater than or equal to 5, how is this represented on a number line?

• Filled circle at 5 with an arrow pointing left

• Open circle at 5 with an arrow pointing right

• Filled circle at 5 with an arrow pointing right

• Open circle at 5 with an arrow pointing left

What does an open circle at 1 with an arrow pointing left represent?

• X is less than 1

• X is not equal to 1

• X is equal to 1

• X is greater than 1

How would you graph the inequality W < 1 on a number line?

• Open circle at 1 with an arrow pointing left

• Filled circle at 1 with an arrow pointing left

• Open circle at 1 with an arrow pointing right

• Filled circle at 1 with an arrow pointing right

What does the inequality Y ≤ 32 look like on a number line?

• Filled circle at 32 with an arrow pointing right

• Open circle at 32 with an arrow pointing left

• Filled circle at 32 with an arrow pointing left

• Open circle at 32 with an arrow pointing right

How do you represent the inequality A > -4 on a number line?

• Open circle at -4 with an arrow pointing right

• Filled circle at -4 with an arrow pointing left

• Open circle at -4 with an arrow pointing left

• Filled circle at -4 with an arrow pointing right

What does a filled circle at 8 with an arrow pointing left indicate?

• X > 8

• X ≥ 8

• X ≤ 8

• X < 8

If there is an open circle at -4 with an arrow pointing right, what is the inequality?

• X > -4

• X ≤ -4

• X < -4

• X ≥ -4

How would you write the inequality for a filled circle at 20 with an arrow pointing right?

• X < 20

• X ≥ 20

• X ≤ 20

• X > 20

What does an open circle at 0 with an arrow pointing left represent?

• X ≤ 0

• X < 0

• X > 0

• X ≥ 0