Understanding Inequalities from a Number Line

In this video, Mr. J explains how to write inequalities from a number line. He covers four examples, demonstrating how to interpret filled and open circles and the direction of arrows to determine the correct inequality. The video concludes with tips on checking circle types and arrow directions to write accurate inequalities.

What does a filled circle on a number line indicate?

• The number is not a solution.

• The number is less than the variable.

• The number is a solution.

• The number is greater than the variable.

In Example 1, what inequality represents a filled circle at 8 with an arrow pointing left?

• x > 8

• x ≤ 8

• x < 8

• x ≥ 8

What does an open circle on a number line signify?

• The number is equal to the variable.

• The number is not included in the solutions.

• The number is included in the solutions.

• The number is less than the variable.

In Example 2, what inequality represents an open circle at -4 with an arrow pointing right?

• x < -4

• x ≥ -4

• x ≤ -4

• x > -4

In Example 3, what inequality represents a filled circle at 20 with an arrow pointing right?

• x ≥ 20

• x > 20

• x ≤ 20

• x < 20

In Example 4, what inequality represents an open circle at 0 with an arrow pointing left?

• x ≥ 0

• x > 0

• x ≤ 0

• x < 0

Which direction does the arrow point for numbers greater than a given number?

• Right

• Left

• Up

• Down

What is the inequality for a filled circle at a number with an arrow pointing right?

• x > number

• x ≤ number

• x < number

• x ≥ number

What is the inequality for an open circle at a number with an arrow pointing left?

• x ≤ number

• x < number

• x > number

• x ≥ number

What should you check first when writing an inequality from a number line?

• The direction of the arrow

• The length of the arrow

• The color of the circle

• The type of circle (filled or open)