Understanding Interval Notation and Inequalities

The video tutorial explains how to express intervals using compact inequality and interval notation. It covers two specific intervals: the first from -3 to 5, excluding -3 and including 5, and the second involving two separate intervals, from negative infinity to -1 and from 2 to infinity, using a union. The tutorial demonstrates how to use parentheses and square brackets to denote whether endpoints are included or excluded in interval notation.

How would you express the interval from -3 to 5, excluding -3 and including 5, using inequalities?

• X >= -3 and X < 5

• X > -3 and X <= 5

• X >= -3 and X <= 5

• X > -3 and X < 5

Which interval notation correctly represents the range from -3 to 5, excluding -3?

• [-3, 5]

• (-3, 5]

• (-3, 5)

• [-3, 5)

What is the correct interval notation for X being less than or equal to -1?

• [-1, ∞)

• (-∞, -1)

• (-1, ∞)

• (-∞, -1]

How do you express the interval where X is greater than 2 using interval notation?

• (2, ∞]

• [2, ∞)

• [2, ∞]

• (2, ∞)

Which symbol is used to denote the union of two intervals?

• ∩

• ∪

• ∧

• ∨

In interval notation, what type of bracket is used to indicate that a number is included in the interval?

• Angle bracket <>

• Square bracket []

• Curly braces {}

• Parenthesis ()