Understanding Intervals and Inequalities

The video tutorial explains how to graph intervals using interval notation and inequalities. It covers two examples: one from negative two to infinity and another from negative infinity to three. The tutorial also provides helpful notes on expressing intervals in different forms.

What does the square bracket in the interval [-2, ∞) signify?

• The interval is approaching negative infinity.

• The interval is finite.

• The endpoint -2 is included.

• The endpoint -2 is not included.

How would you express the interval [-2, ∞) as an inequality?

• x ≥ -2

• x > -2

• x ≤ -2

• x < -2

What type of circle is used to graph the endpoint -2 in the interval [-2, ∞)?

• Dashed circle

• No circle

• Open circle

• Closed circle

In the interval (-∞, 3), what does the open parenthesis next to 3 indicate?

• The interval is approaching positive infinity.

• The interval is finite.

• The endpoint 3 is not included.

• The endpoint 3 is included.

How would you express the interval (-∞, 3) as an inequality?

• x ≤ 3

• x ≥ 3

• x < 3

• x > 3

What type of circle is used to graph the endpoint 3 in the interval (-∞, 3)?

• Open circle

• Dashed circle

• Closed circle

• No circle

Which direction does the graph of the interval (-∞, 3) extend on the number line?

• It does not extend

• Both directions

• To the left

• To the right

What are the three ways to express an interval as mentioned in the video?

• Using a graph, using words, using interval notation

• Using an inequality, using words, using interval notation

• Using a graph, using words, using a table

• Using a graph, using a table, using a chart