Graphing Inequalities and Circles

The video tutorial covers graphing inequalities, focusing on when to use open or closed circles. It explains that for 'x is less than three', an open circle is used, while for 'x is greater than or equal to negative two', a closed circle is used. The tutorial also covers 'x is less than or equal to four', emphasizing the use of a closed circle. The concept of the 'alligator' eating the larger number is used as a mnemonic to help understand inequality symbols.

When graphing the inequality 'x < 3', what type of circle should be used on the number line?

• Closed circle

• No circle

• Open circle

• Shaded circle

For the inequality 'x ≥ -2', which of the following is true about the graph?

• It does not include -2

• It uses a shaded circle at -2

• It uses a closed circle at -2

• It uses an open circle at -2

What does a closed circle on a number line indicate when graphing inequalities?

• The number is not included

• The inequality is not strict

• The number is included

• The inequality is strict

In the inequality 'x ≤ 4', what does the closed circle at 4 signify?

• 4 is part of the solution

• The solution is only less than 4

• 4 is not part of the solution

• The solution is only greater than 4

Which of the following inequalities would use a closed circle on the number line?

• x ≠ 5

• x ≤ 5

• x > 5

• x < 5