. You have just set up a new wireless network at your house, and you want to determine whether your Linux laptop has connected to it and obtained a valid IP address. What command will give you the information you need?

The command that can provide information about the IP address of a Linux laptop connected to a wireless network is "ifconfig". By running this command, you will be able to see the IP address assigned to the wireless interface, such as "wlan0" or "wlan1".

1. You have decided to use SNAT and PAT on your small office network. At minimum, how many IP addresses must you obtain from your ISP for all five clients in your office to be able to access servers on the Internet?

To ensure that all five clients in your office can access servers on the Internet using SNAT (Source Network Address Translation) and PAT (Port Address Translation), you will need at least one public IP address from your ISP.

With a single public IP address, your router/firewall can perform NAT and PAT to allow multiple clients to share the same IP address but use different ports. This way, all clients will be able to access servers on the Internet.

So, in this case, you need to obtain only one public IP address from your ISP.

To determine whether your Linux laptop has connected to your wireless network and obtained a valid IP address, you can use the `ifconfig` command. Follow these steps:

1. Open a terminal on your Linux laptop. This can usually be done by searching for "Terminal" in the applications menu or by using the keyboard shortcut Ctrl+Alt+T.
2. In the terminal, type the following command and press Enter:
```
ifconfig
```
This command will display network interface configuration information.

Look for an entry that starts with "wlan" or "wlp" (depending on your Linux distribution and wireless adapter) followed by a number, such as "wlan0" or "wlp3s0". Under this entry, you should see information related to your wireless connection, including the assigned IP address.

If your laptop has successfully connected to your wireless network and obtained an IP address, you should see a line similar to the following:

```
inet xxx.xxx.xxx.xxx netmask xxx.xxx.xxx.xxx broadcast xxx.xxx.xxx.xxx
```

The "xxx.xxx.xxx.xxx" represents the IP address assigned to your laptop by your wireless router. If you see this line, it means that your Linux laptop has connected to the network and obtained a valid IP address.

If you don't see this line or encounter any issues, it could indicate a problem with your wireless connection. In such cases, you can troubleshoot further or seek assistance from your network administrator or internet service provider.