Graphing Inequalities on a Number Line

This video tutorial explains how to graph inequalities on a number line and represent them using interval notation. It covers different types of inequalities, such as greater than, less than, and their combinations, using open and closed circles. The tutorial also demonstrates how to use parentheses and brackets in interval notation and provides examples of graphing compound inequalities.

How do you represent 'x is greater than 3' on a number line?

• With an open circle at 3 and shading to the left

• With an open circle at 3 and shading to the right

• With a closed circle at 3 and shading to the right

• With a closed circle at 3 and shading to the left

What symbol is used in interval notation to represent 'x is greater than 3'?

• [3, ∞]

• (3, ∞)

• (3, ∞]

• [3, ∞)

How is 'x is equal to or greater than 2' represented on a number line?

• With an open circle at 2 and shading to the right

• With a closed circle at 2 and shading to the right

• With an open circle at 2 and shading to the left

• With a closed circle at 2 and shading to the left

In interval notation, how do you represent 'x is equal to or greater than 2'?

• [2, ∞]

• (2, ∞)

• [2, ∞)

• (2, ∞]

What is the correct representation for 'x is less than 1' on a number line?

• With an open circle at 1 and shading to the left

• With a closed circle at 1 and shading to the right

• With an open circle at 1 and shading to the right

• With a closed circle at 1 and shading to the left

How do you represent 'x is less than or equal to -3' using interval notation?

• (-∞, -3)

• (-∞, -3]

• [-∞, -3)

• [-∞, -3]

How is 'x is greater than 3 or x is less than -1' represented on a number line?

• With closed circles at 3 and -1

• With an open circle at 3 and a closed circle at -1

• With open circles at 3 and -1

• With a closed circle at 3 and an open circle at -1

What is the interval notation for 'x is greater than 3 or x is less than -1'?

• (-∞, -1] ∪ (3, ∞)

• (-∞, -1) ∪ (3, ∞)

• (-∞, -1] ∪ [3, ∞)

• (-∞, -1) ∪ [3, ∞)

How do you graph 'x is greater than -1 but less than or equal to 5' on a number line?

• With open circles at both -1 and 5

• With a closed circle at -1 and an open circle at 5

• With an open circle at -1 and a closed circle at 5

• With closed circles at both -1 and 5

What is the interval notation for 'x is greater than -1 but less than or equal to 5'?

• [-1, 5)

• (-1, 5)

• (-1, 5]

• [-1, 5]