Set Builder Notation and Inequalities

The video tutorial provides a comprehensive review of inequality notations, focusing on symbols like 'less than', 'less than or equal to', 'greater than', and 'greater than or equal to'. It explains how these symbols are used to describe sets of natural numbers using set builder and roster methods. The tutorial also covers compound inequalities and provides examples to practice expressing sets using the roster method.

Why are inequality symbols important in mathematics?

• They are used to describe sets of natural numbers.

• They are used in calculus.

• They are only used in geometry.

• They help in solving equations.

What does the symbol '<' represent?

• Equal to

• Not equal to

• Less than

• Greater than

In set builder notation, how would you express 'x is a natural number less than 4'?

• x such that x >= 4

• x such that x = 4

• x such that x < 4

• x such that x > 4

Using the roster method, which numbers are included in the set of natural numbers less than 4?

• 1, 2, 3

• 2, 3, 4

• 0, 1, 2

• 3, 4, 5

What does the symbol '≥' mean?

• Less than

• Greater than

• Less than or equal to

• Greater than or equal to

How would you express 'x is a natural number greater than 4' using set builder notation?

• x such that x <= 4

• x such that x = 4

• x such that x > 4

• x such that x < 4

Using the roster method, which numbers are included in the set of natural numbers greater than 4?

• 5, 6, 7

• 3, 4, 5

• 4, 5, 6

• 6, 7, 8

What does the compound inequality 'x > a and x < b' mean?

• x is greater than a and less than b

• x is less than a and greater than b

• x is equal to a and b

• x is not equal to a and b

In the inequality 'x ≥ a and x ≤ b', what does it mean if x is a natural number?

• x is between a and b, inclusive

• x is only greater than a

• x is only less than b

• x is not between a and b

Using the roster method, which numbers are included in the set of natural numbers greater than or equal to 4 and less than 8?

• 6, 7, 8, 9

• 3, 4, 5, 6

• 5, 6, 7, 8

• 4, 5, 6, 7