We can use interval notation to show that a value falls between two endpoints. For example, -3≤x≤2, [-3,2], and {x∈ℝ|-3≤x≤2} all mean that x is between -3 and 2 and could be either endpoint.

, Is there some way to write both results as an interval? Or should it be separately? (-∞, 2/3); [2, ∞) • (15 votes) Upvote

Highlight intervals on the domain of a function where it's only increasing or only decreasing.

If a line has a positive slope, then it moves upwards as the line move left to right. Now, apply these same ideas to other types of graphs. If the graph is moving downward, then that is a decreasing …

Sets 1.1 Sets 1.2 Subset, strict subset, and superset Interval notation Sets 1.3 Intersection and union of sets Relative complement or difference between sets

Sal is writing the domain and range in what is called set builder notation. The curly brackets are used to denote that you have a set in either set builder notation or roster notation.

Summation notation (or sigma notation) allows us to write a long sum in a single expression. While summation notation has many uses throughout math (and specifically calculus), we want to focus on …

Let me write it down. So we know either a is greater than 0 and b is greater than zero-- so either both of them are positive or both of them are negative-- or a is less than zero and b is less than zero.

In this context, interval means a limited part of the whole domain. It would have two "endpoints" that may or may not count and all the numbers between these two.

Sal solves the compound inequality 5x-3<12 AND 4x+1>25, only to realize there's no x-value that makes both inequalities true.