Solving and Graphing One-Variable Inequalities

The video tutorial covers key concepts in solving inequalities, including the use of open and closed circles, parentheses, and brackets in interval notation. It emphasizes the importance of flipping the inequality sign when multiplying or dividing by negative numbers. The tutorial provides multiple examples to illustrate these concepts, ensuring students understand how to manipulate variables and apply the correct notation. The video concludes with a reminder of the homework assignment.

What must you do to the inequality sign when you multiply or divide by a negative number?

• Flip it

• Double it

• Keep it the same

• Remove it

Why do you need to flip the inequality sign when multiplying or dividing by a negative number?

• To keep the variable positive

• Because the negative moves to the other side

• To simplify the equation

• To balance the equation

What type of circle is used for 'greater than' and 'less than' inequalities?

• Dotted circle

• Filled circle

• Open circle

• Closed circle

Which symbol is used to close intervals that include infinity?

• Parenthesis

• Curly brace

• Bracket

• Square bracket

When solving inequalities, where should you try to keep the variable?

• In the middle

• On the left side

• It doesn't matter

• On the right side

What is the interval notation for an inequality that goes from negative infinity to -4 with an open circle?

• [-∞, -4]

• [-∞, -4)

• (-∞, -4)

• (-∞, -4]

In the example where W > 3, what type of circle is used on the graph?

• Dotted circle

• Closed circle

• Open circle

• Filled circle

What is the interval notation for W > 3?

• (3, ∞]

• [3, ∞)

• (3, ∞)

• [3, ∞]

In the example where e ≥ -3, what type of circle is used on the graph?

• Closed circle

• Dotted circle

• Open circle

• Filled circle

What is the interval notation for e ≥ -3?

• (-3, ∞]

• [-3, ∞]

• (-3, ∞)

• [-3, ∞)