Understanding Interval and Set Notation

What does the inequality X < 3 represent on a number line?

• All numbers greater than 3

• All numbers greater than or equal to 3

• All numbers less than 3

• Only the number 3

In interval notation, how is a number that is not included in the interval represented?

• With a bracket

• With a parenthesis

• With a square bracket

• With a curly brace

What symbol is used in interval notation to indicate that infinity is not included?

• Square bracket

• Curly brace

• Bracket

• Parenthesis

How would you write the interval for all numbers greater than or equal to 3 in interval notation?

• (3, ∞)

• [3, ∞]

• [3, ∞)

• (3, ∞]

In set notation, what does the vertical line symbolize?

• Such that

• And

• Or

• Not

Which of the following is a correct representation of the set of all X such that X is less than 3?

• {X : X < 3}

• [X | X < 3]

• {X | X < 3}

• (X | X < 3)

What is the main difference between interval and set notation?

• Interval notation uses braces, set notation uses brackets

• Interval notation uses parentheses and brackets, set notation uses braces

• Interval notation is used for finite sets, set notation for infinite sets

• Interval notation is only for positive numbers, set notation for negative numbers

How is the interval [-2, 5) represented in set notation?

• {X | -2 < X ≤ 5}

• {X | -2 < X < 5}

• {X | -2 ≤ X < 5}

• {X | -2 ≤ X ≤ 5}

Which notation is more frequently used for expressing solutions to inequalities?

• Set notation

• Interval notation

• Algebraic notation

• Graphical notation

What does the interval (-∞, 3) represent?

• All numbers between -3 and 3

• All numbers less than 3

• All numbers greater than or equal to 3

• All numbers greater than 3