Graphing and Solving Inequalities

The video tutorial covers solving and graphing inequalities, starting with a review of inequality symbols and their meanings. It explains how to represent inequalities on a number line using open and closed circles, as well as parentheses and brackets for interval notation. The tutorial includes examples of solving inequalities, demonstrating the process step-by-step, and concludes with additional resources for further practice.

What does an open circle on a number line represent?

• The number is included in the solution set.

• The solution set is empty.

• The number is not included in the solution set.

• The solution set is infinite.

What is used in interval notation to represent a range that does not include its endpoints?

• Curly braces

• Brackets

• Quotation marks

• Parentheses

How do you represent 'less than or equal to' on a number line?

• With a square

• With a closed circle

• With a triangle

• With an open circle

Which of the following is true for the inequality x < 11?

• The solution set is empty.

• 20 is in the solution set.

• -9 is in the solution set.

• 11 is in the solution set.

In the context of inequalities, what does infinity always use in interval notation?

• Brackets

• Parentheses

• A dot

• A line

What does the interval notation (-∞, 11) represent?

• All numbers greater than 11

• All numbers except 11

• All numbers less than 11

• Only the number 11

What symbol changes direction when both sides are multiplied or divided by a negative number?

• <

• >

• ≤

• ≥

What does a closed circle on a number line indicate?

• The number is excluded from the solution set.

• The number is included in the solution set.

• The solution set is all real numbers.

• The solution set is finite.

For the inequality x ≥ 2, which number is part of the solution set?

• 0

• 2

• -2

• 1

How is a compound inequality involving 'less than' and 'less than or equal to' represented on a graph?

• With one open and one closed circle

• With a square and a circle

• With two closed circles

• With two open circles