Set Notation and Number Lines

This lesson introduces interval notation, set builder notation, and number lines. It explains how to represent intervals using number lines and interval notation, including the use of open and closed brackets. The lesson also covers set builder notation, emphasizing the importance of understanding the direction of inequalities. Practical examples are provided to illustrate these concepts, including the use of infinity in interval notation.

What are the three main topics covered in this lesson?

• Statistics, Probability, Trigonometry

• Interval Notation, Set Builder Notation, Number Lines

• Vectors, Matrices, Complex Numbers

• Algebra, Geometry, Calculus

How do you represent numbers greater than 3 and less than 7 on a number line?

• With arrows pointing away from 3 and 7

• With a single point at 5

• With open circles at 3 and 7

• With closed circles at 3 and 7

In interval notation, how do you denote that 3 and 7 are not included?

• Using round brackets

• Using curly brackets

• Using angle brackets

• Using square brackets

What symbol is used in set builder notation to indicate the set of all real numbers?

• x ∈ R

• x ∈ N

• x ∈ Z

• x ∈ Q

What analogy is used to help understand the direction of inequality symbols?

• A shark's fin

• A bird's beak

• A crocodile's mouth

• A lion's mouth

How is the number 7 represented on a number line when it is included in the set?

• With an open circle

• With a closed circle

• With a square

• With a triangle

In interval notation, how is infinity represented?

• With a round bracket

• With an angle bracket

• With a square bracket

• With a curly bracket