# Notion Example

Our Notion Course Supercharge your Productivity is currently closed for enrollment, but sign up here to be notified when we re-open. In 1996 I sold my Magic the Gathering collection for \$7,000 and bought shares of the Vanguard S&P 500 Index Fund (today worth \$28,516). Sample Notion Landing Page. Navigate to the page that you want the template to appear. Create Content You Want to Create a Template of. This part is up to you in terms of what type of content (to-dos, boards, pages, etc) you want in your template. For the purposes of this tutorial, I will be creating a page that I will turn into. If you have a notion that you can swim across the ocean, you are probably wrong. A notion is an idea, often vague and sometimes fanciful. Notion's Getting Started page is a great example of learn-by-doing onboarding. Notion teaches new users the actions they'll need to access their product's core value (and then some) with a fully functional checklist, that includes simple instructions like 'Type '/' for slash commands.'

We use interval notation to represent subsets of real numbers. Suppose that a and b are real numbers such that a < b.

Then, the open interval (a,b) represents the set of all real numbers between a and b, except a and b.

• { x / a < x < b} is the set-builder notation. • a < x < b is the inequality description.
• (a, b) is the interval notation.

The closed interval [a,b] represents the set of all real numbers between a and b, including a and b. • { x / a ≤ x ≤ b} is the set-builder notation.
• a ≤ x ≤ b is the inequality description.
• [a, b] is the interval notation.

The table below lists nine types of intervals used to describe subsets of real numbers. Notice the number line representation of each interval.

Basically, an interval is a set containing all numbers between two given numbers or endpoints. The set may have one, both, or neither of the two given numbers.

An interval is open if the interval does not contain its endpoints.
The symbols ( or ) are used to indicate that an endpoint is not included in the interval.

An interval is closed if the interval contains its endpoints.
The symbols [ or ] are used to indicate that an endpoint is included in the interval.
Sometimes, the interval may contain only one of its endpoints. In this case, the interval is half-open. The interval [2, 8) is half-open. It contains 2 and all numbers between 2 and 8. Notice that 8 is not included since the interval is open at 8.

Notice the symbol ∞ which mean infinity. -∞ means minus infinity and +∞ means positive infinity.
Both -∞ and +∞ are used to show that an interval is unbounded or extends indefinitely to the left or to the right respectively.

Why do we need intervals? They can be used to describe the domains of functions, bounds for estimates, and the solution sets of equations and inequalities.

The length of an interval with endpoints a and b with a < b is b - a.

## Converting an inequality to interval notation

Express each inequality in interval notation.

Examples

Inequality Interval notation

-6 ≤ x < 1 [-6, 1)

## Notion Example Meaning

x > 20 (20, ∞)

x ≥ -1 or x < -4 (-∞, -4) U [-1,∞)

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