doc: improve synopsis.md

Many small improvements to synopsis.md to make it more concise, more
clear, and more correct (punctuation, etc.).

PR-URL: #28115
Reviewed-By: Daniel Bevenius <daniel.bevenius@gmail.com>
Reviewed-By: Beth Griggs <Bethany.Griggs@uk.ibm.com>
Reviewed-By: Colin Ihrig <cjihrig@gmail.com>
Reviewed-By: Luigi Pinca <luigipinca@gmail.com>
Reviewed-By: Trivikram Kamat <trivikr.dev@gmail.com>

doc/api/synopsis.md

@@ -5,31 +5,23 @@
 
 `node [options] [V8 options] [script.js | -e "script" | - ] [arguments]`
 
-Please see the [Command Line Options][] document for information about
-different options and ways to run scripts with Node.js.
+Please see the [Command Line Options][] document for more information.
 
 ## Example
 An example of a [web server][] written with Node.js which responds with
 `'Hello, World!'`:
 
-Commands displayed in this document are shown starting with `$` or `>`
-to replicate how they would appear in a user's terminal.
-Do not include the `$` and `>` characters. They are there to
-indicate the start of each command.
+Commands in this document start with `$` or `>` to replicate how they would
+appear in a user's terminal. Do not include the `$` and `>` characters. They are
+there to show the start of each command.
 
-There are many tutorials and examples that follow this
-convention: `$` or `>` for commands run as a regular user, and `#`
-for commands that should be executed as an administrator.
+Lines that don’t start with `$` or `>` character show the output of the previous
+command.
 
-Lines that don’t start with `$` or `>` character are typically showing
-the output of the previous command.
-
-Firstly, make sure to have downloaded and installed Node.js.
-See [this guide][] for further install information.
+First, make sure to have downloaded and installed Node.js. See [this guide][]
+for further install information.
 
 Now, create an empty project folder called `projects`, then navigate into it.
-The project folder can be named based on the user's current project title, but
-this example will use `projects` as the project folder.
 
 Linux and Mac:
 
@@ -75,14 +67,13 @@ server.listen(port, hostname, () => {
 });
 ```
 
-Save the file, go back to the terminal window enter the following command:
+Save the file, go back to the terminal window, and enter the following command:
 
 ```console
 $ node hello-world.js
 ```
 
-An output like this should appear in the terminal to indicate Node.js
-server is running:
+Output like this should appear in the terminal:
 
 ```console
 Server running at http://127.0.0.1:3000/
@@ -93,8 +84,6 @@ Now, open any preferred web browser and visit `http://127.0.0.1:3000`.
 If the browser displays the string `Hello, World!`, that indicates
 the server is working.
 
-Many of the examples in the documentation can be run similarly.
-
 [Command Line Options]: cli.html#cli_command_line_options
 [this guide]: https://nodejs.org/en/download/package-manager/
 [web server]: http.html