Understanding Interval Notation and Inequalities

The video tutorial explains how to express intervals using inequalities and interval notation. It covers two specific intervals: one with an open point on negative two, indicating that x is greater than negative two, and another with a closed point on positive three, indicating that x is less than or equal to positive three. The tutorial emphasizes the use of parentheses and brackets in interval notation, particularly when dealing with infinity.

How do you express an interval with an open point on negative two using inequality?

• X is greater than negative two

• X is equal to negative two

• X is less than negative two

• X is not equal to negative two

What is the correct interval notation for an interval starting from negative two and extending to positive infinity?

• (-2, ∞)

• (-2, ∞]

• [-2, ∞]

• [-2, ∞)

Why do we use parentheses with infinity in interval notation?

• Infinity is always included

• Infinity is not a real number

• Infinity is always excluded

• Infinity is a real number

What symbol is used to indicate that a point is included in an interval?

• Parenthesis

• Angle bracket

• Square bracket

• Curly brace

How do you express an interval with a closed point on positive three using inequality?

• X is greater than or equal to positive three

• X is less than or equal to positive three

• X is less than positive three

• X is greater than positive three

What is the correct interval notation for an interval extending from negative infinity to positive three?

• (-∞, 3]

• [−∞, 3]

• [−∞, 3)

• (-∞, 3)