Interval Notation and Representation

Anil Kumar introduces interval notation and demonstrates how to convert inequalities into interval notation. The video covers various examples, including simple and complex cases, and explains the use of brackets and unions. The tutorial aims to help viewers understand and apply interval notation effectively.

What is the main focus of the video tutorial?

• Understanding calculus

• Learning interval notation

• Exploring algebraic expressions

• Studying geometry

How would you represent the interval where x is between -5 and 5, excluding both endpoints?

• [-5, 5]

• (5, -5)

• (-5, 5)

• [-5, 5)

How do you denote an interval that does not include its endpoints?

• Using square brackets

• Using round brackets

• Using curly brackets

• Using angle brackets

Which brackets are used to include both endpoints in an interval?

• Angle brackets

• Square brackets

• Round brackets

• Curly brackets

How is an interval extending to negative infinity represented?

• (-∞, 10]

• (-∞, 10)

• [10, ∞)

• (10, ∞)

What is the interval notation for x less than 10?

• (10, ∞)

• [10, ∞)

• (-∞, 10)

• (-∞, 10]

What is the correct representation for an interval starting from 0 and extending to positive infinity?

• [0, ∞)

• (0, ∞)

• (0, ∞]

• [0, ∞]

Which symbol is used to represent infinity in interval notation?

• ∞

• ∞

• ∞

• ∞

How is an interval where x is greater than or equal to 0 represented?

• [0, ∞)

• (0, ∞]

• (0, ∞)

• [0, ∞]

What does the term 'disjunction' refer to in interval notation?

• Intersection of intervals

• Union of intervals

• Difference of intervals

• Product of intervals